If your child does not understand long division, dividing a four digit number by a two digit number can destroy his or her self-esteem.  There is an easier way to divide large numbers.  HOW TO DO LONG DIVISION is designed in a manner that ensures all children can be successful when dividing large numbers.  This is the fourth article in a series of seven.  Each article is a complete lesson on division.  If you have not read the first article, you can click here to read why my strategies are so very successful.  In this fourth article we will focus on four digit numbers divided by two digit numbers.  Every problem has its own video tutorial, offering immediate online tutoring for your child.

When you complete this article, click here to move to the next lesson, How to do Long Division – Five Digits Divided by Three.

The photo below show an example of how my students use area division to solve problems with a four digit number divided by a two digit number.  Notice that the first step is to write the “counting by the numbers” above their problem.  I also have kids estimate high.  That is why I have some of the number written in blue.  If you watch one of my videos, you can see this strategy in action.
The strategy of counting by the numbers is designed specifically for children who do NOT know their multiplication facts.  My goal is for children is to memorize their multiplication facts.  However, until they know all their facts, they need a strategy.  Counting by the numbers is the easiest strategy to learn.  Therefore, I have added counting by the numbers to the end of each and every video.  Children who do not know all their multiplication facts should watch and count with me at the end of each of these videos until they can count by all the number on their own.  Repetition of this strategy will help in all areas of math that require multiplication.  Once a child knows all their multiplication facts, they can stop the videos after the problem is solved and before Counting by the Numbers begins.

 

 

I have scaffold the problems in each lesson.  The first problem is a “Watch Me” problem.  The second is a “Work with Me” problem.  All the rest are “On Your Own” problems.  For more information about the scaffolding process, visit the first article on How to do Long Division.

How to do Long Division with Online Tutoring in Math: Challenge 1
Watch Me
Baby Llamas For Sale

You are raising baby llamas and selling them to llama farms around the world.  Your llamas are the cutest.  You made $3,431 by selling 73 llamas.  How much do each of your baby llamas cost?

Watch this Free Tutoring for Math Video!

Press PLAY and Watch this Free Tutoring for Math Video below.  Then copy these strategies into your notes!

 

Does Your Child Need a Great Book to Read?

My son read every single one of these Magic Tree House books when he was young.  They really helped to develop his reading fluency as well as his comprehension.	I wrote this book when I was teaching in the primary grades.  It’s about a fourth grade boy who is being bullied.  He is taken to another world where he learns to face his fears. In the process, he saves the entire planet from an all-out war.	I wrote this book as a testament to myself.  I have dyslexia, and for years I felt limited by my disability.  I decided to write a novel to prove that no disability could hold me back.  Return to the Elves is a fantasy book for children in fifth and sixth grades.	This is my all-time favorite book for 6th grade. It is about a young lady in the time of the Pharos.  She is quite the heroine. This book dovetails perfectly with the sixth grade standard of studying Ancient Egypt.

Could your child benefit from a little One-On-One tutoring?

The problem below is called a “Work with Me” challenge.  This challenge encourages your child to work step-by-step along side me to solve this challenge.  All of the following challenges are called “On Your Own” challenges.  However, many of my students who struggle with division will do five or six of the “On Your Own” challenges as a “Work with Me” challenge.  They play the video, pause it, and copy the strategies until they feel comfortable and confident.  Doing the problems as a “Work with Me” challenge is like having a personal tutor.

How to do Long Division with Online Tutoring in Math: Challenge 2
Work With Me
Road Trip

Your parents just bought a travel-home.  Now it’s time to hit the road.  You’re heading across the states.  It’s 2,924 miles from California to New York.  If you go from California to New York in 43-hours, how fast do you drive?

Watch this Free Tutoring for Math Video!

Gather your materials and press PLAY.  We’ll solve this problem together, while you watch the math tutorial video below.

 

Is your neck tight?

This is the prefect massager for your neck and back.  It has soothing Heat to reach those deep muscle Tissues.  The kneading pillow will give you a wonderful Shiatsu Massage on your shoulders, feet, legs, and back.
Use this Muscle relieve massager in you office, home, or car.

Do your children get frustrated when they make a mistake?

We all make mistakes.  As a matter of fact, making mistakes is an essential part of the learning process.  This is why at the end of each of the following “On Your Own” challenges I encourage children to fix their mistakes.  Finding and fixing your own mistake is the fastest way to learn.

How to do Long Division with Online Tutoring in Math: Challenge 3
On Your Own
Grand Prix Motorcycle Race

You and your family go to the Grand Prix Motorcycle Race every year.  Each competitor must ride his or her bike 9,732 mile in just 12-days.  How many miles must the racers ride their motorcycles each day?

Watch this Free Tutoring for Math Video!

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

 

Check Out the Ultimate Aromatherapy Diffuser & Essential Oil Set:

How to do Long Division with Online Tutoring in Math: Challenge 4
On Your Own
Whale Eating Krill

This whale is HUGE, but it eats tiny krill.  In order to survive, a whale like this must eat 40-million krill per day.  That’s around 8,016 pounds of krill a day.  About how many pounds of krill do whales eat per hour?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Do you need some comfortable shoes?

Check out the Crocs Unisex-Adult Classic Clogs with their 45 different colors!
These Water Shoes are super comfortable and easy to slip on.

• Rubber sole.
• Our iconic Classic Clog.
• Fully molded Croslite material construction for lightweight cushioning.
• Massage pod footbed feels great!
• Heel strap for a more secure fit.

How to do Long Division with Online Tutoring in Math: Challenge 5
On Your Own
Deadly Poisonous Frogs

You are a scientist studying the deadly frogs of South America.  These frogs have beautiful colors, but they are deadly.  Scientists believe that they are deadly because of the insects that they eat, which includes tiny beetles, termites, and fruit flies.  There are 59 frogs eating 8,024 insects.  If they all eat the same amount of insects, how many insects does each frog eat?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Is it time for a relaxing cup of Tea?

Try a cup of Teavana Peach Tranquility tea.  I am sure that you will love it!

How to do Long Division with Online Tutoring in Math: Challenge 6
On Your Own
Love-Sick Larry

Larry is love-sick over Lacey.  In Larry’s mind, Lacey is the prettiest monkey in all of Africa.  She has silky brown fur, and deep brown eyes that make Larry’s heart go pitter-pat.  Larry has been sitting between these two roots for 78 minutes.  He has been plucking blades of grass and reciting, “She loves me.  She loves me not.  She loves me. She loves me not.”  He just cleared the entire section between the two roots by plucking 6,474 blades of grass.  Now, Larry happily looks over to Lacey, because he just finished with the last blade of grass reciting, “She Love Me!”

About how many blades of grass did Larry pluck per minute ?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Who doesn’t love a foot massage?

• 🦶🏽 Pain Relief for Feet, Legs, Hips, and Sciatica: Pain caused by long periods of sitting can be reduced using an under desk footrest. Switching from the hard ground to a soft and comfortable desk foot rest will help lessen foot pressure and improve circulation. Reducing swelling caused by any hard surface or foot stool for desk at work
• 🦶🏽 Ergonomic Teardrop Design for Improved Posture: Designed to fit anywhere you need support, our teardrop shaped foot rest for under desk will increase your comfort and improve your posture by elevating your legs. And the ergonomically contoured structure lets you place your feet in numerous positions to support your arches. Helping you fight fatigue
• 🦶🏽 Memory Foam and Body Heat Responsive: Our foot rest for under desk at work is made from memory foam that conforms to your specific body contours. Providing the kind of cushioned comfort and support you’d expect from an under desk foot rest. The more time you sit, the more of your body heat it absorbs, softening and supporting in all the right places
• 🦶🏽 Multi Purpose Use and Non Slip Bottom: A typical daily work desk theme is shifting and moving. That’s why we equipped our footrest for under desk with a non slip bottom. It stays in place when you need it. And to give your legs a little wake up, simply flip it over and use it as a rocker to minimize fatigue
• 🦶🏽 Easy to Remove Cover, Machine Washable: The soft velour cover is removable and machine washable and can also be thrown in the dryer on low heat.

How to do Long Division with Online Tutoring in Math: Challenge 7
On Your Own
White Antelope

Take a look at the beautiful horns on the white antelope.  If you look closely you can see the the horns are formed by rings that grow one upon the next.  The horns have a boney core that is surrounded by keratin, which is the similar to the material in your hair or fingers.  Each antelope has an average of 87 rings that make up their two horns.  If there are 3,741 rings in the entire herd of white antelope, then how many antelopes are in this herd?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Women’s Solid Color Chunky Button Pullover Sweater

How to do Long Division with Online Tutoring in Math: Challenge 8
On Your Own
Kissing Penguins

Meet Peter and Penelope Penguin.  They are African Penguins, and they were just married, so it is only natural that they would be kissing penguins.  While at their wedding, the other penguins challenged them to kiss 7,409 times within the first month of the marriage.  If this month is 31 days long, how many times must they kiss each day?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Could you use a Portable Vacuum?

• KEEP YOUR CAR PROFESSIONAL LEVEL CLEAN! No more crumbs, dust or dirt! With the Worx Portable Car Vacuum Cleaner you’ll be free of any wet or dry messes, even liquids, cigarette ashes or pet hair.
• POWERFUL YET TINY! The handheld vacuum weighs only 2.4 lbs but has a high power, 106W & 8.8 amps motor and metal turbine for the ultimate suction power. The 16ft power cord connects to the car’s 12V lighter port, for maximum coverage.
• CLEANING MADE EASY! The ergonomic design of this hand vacuum ensures you can reach all the nooks and crannies of your car. The transparent trash container makes it easy to empty it and the protective lid keeps the trash inside at all times
• The car vacuum set features 3 all-purpose nozzles, a carrying bag for easy storage, a special filter cleaning brush and a spare HEPA filter. It makes for an awesome gift for ride-sharing drivers & car lovers!

How to do Long Division with Online Tutoring in Math: Challenge 9
On Your Own
Happy Sheep

These sheep are as happy as clams.  They are looking at the farmer who has brought the shears out to the field, and that can only mean one thing; the farmer is going to cut their wool.  Believe me, if you where a sheep on a hot day in August, you too would be excited to be getting a hair cut.  The farmer cuts about 9,437 strands of wool off the momma sheep.  If he cut about 76 strands of wool with each pass of his electric shears, how many times will he have to run his shears across the momma sheep’s body?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Are you a Barbecuing Machine?

• TIME SAVER – Bear Paws are the answer to perfectly shredded meat without the mess and headache of knives and forks. Easily grasp and shred pork, chicken, beef, and more with the ultra-sharp “claws.”
• DISHWASHER SAFE – Made of BPA-free nylon and heat-resistant up to 475 degrees. Never worry about your shredding tools melting near the grill or in the dishwasher.
• EASY & FUN TO USE – Lift, handle, shred, pull, and carve to your heart’s content. Excellent as turkey lifters, too!  The unique design gives you a perfect handhold for safely managing the super-sharp shredding blades.
• BBQ PRO FAVORITE – Featured on BBQ Pitmasters, Guy Fieri’s Diners, Drive-Ins, and Dives, and America’s Test Kitchen. Bear Paws have been named “Best BBQ Tool” by the National BBQ Association.
• THE ORIGINAL BEAR PAWS – The favorite BBQ accessory for years, Bear Paws are 100% made in the USA. Nobody beats the quality and strength of the Bear Paws product.
• Bear Paws will make your BBQs 100% more epic.

How to do Long Division with Online Tutoring in Math: Challenge 10
On Your Own
Migrating Zebras

Zeppy the Zebra is migrating with the rest of his herd, and his friends the wildebeests.  If Zeppy trots along at about 19 kilometers per hour, and his destination is 4,329 kilometers away, how long will it take Zeppy and his friends to reach their destination?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

These Socks Are Super FUN!

• DONUT MISS OUT ON THESE AWESOME SOCKS: Men and women say these colorful and comfortable Donut socks make the best gifts because they get laughs fast.
• These funky food socks are super fun and appealing – the design features a variety of donuts with frosting and sprinkles to make your mouth water! The bottom of the socks draw extra laughs when you put your feet up, revealing a hidden message printed in non-slip ink: ‘If You Can Read This, Bring Me Some Donuts.’
• But Donuts are not the only hit.  Choose from Bacon, Waffles, Chocolate, Coffee, Ice Cream, Cookie, and many more.
• ONE SIZE FITS MOST:  Fits most men US size 6-13 feet and most women US size 7 and up.
• A GREAT GIFT FOR NOT A LOT OF DOUGH: Bake up some excitement around holidays or birthdays.
• PREMIUM KNIT SOCKS: These fun socks were created with passion to avoid the sloppy edges and fraying found on other novelty socks. The premium fabric ensures they will hold up for years of wears and washes without fading, while remaining soft, comfortable and well fitting.
• LUXURIOUS COMFORT: These novelty socks are made from a super soft blend of 5% elastic, 10% spandex, and 85% cotton, which allow them to comfortably stretch. With one touch you’ll notice how these socks gently hug your legs and feet without slouching or bunching. 

 

Drill & Kill

Here is where we Drill until we Kill all our mistakes!

1. The following problems can all be solved with the same strategies we used to solve the first ten problems.
2. Solve all four problems on each page.
3. Watch the video & correct your work.
4. Review your work with your teacher.
5. If you get all 4 problems correct, your parent or teacher may tell you that you’re ready to move to the next book within this series.

Good Luck!

Drill & Kill Any Mistakes
Challenge 11

Problem 1      3,189 ÷ 47 =

Problem 2    4,286 ÷ 36 =

Problem 3     7,947 ÷ 38 =

Problem 4     2,762 ÷ 93 =

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge 12

Problem 1      5,455 ÷ 64 =

Problem 2     3,879 ÷ 86 =

Problem 3    3,963 ÷ 47 =

Problem 4     2,721 ÷ 39 =

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge 13

Problem 1      3,594 ÷ 24 =

Problem 2     4,389 ÷ 18 =

Problem 3     6,752 ÷ 57 =

Problem 4     4,988 ÷ 46 =

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge 14

Problem 1     4,992 ÷ 79 =

Problem 2    6,359 ÷ 58 =

Problem 3    8,098 ÷ 73 =

Problem 4     9,176 ÷ 84 =

Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Need Help with Multiplication?

I have a series on Multiplication that is specifically designed for children who do not have all of their multiplication facts memorized.   The series is designed in a similar manner to this series on division, where each and every problem is linked to a video tutorial.  Here is a link to my series on Multiplication.

Thank you for reading this article!

Want More Tutorials?

TeachersDungeon is an Educational Fantasy Game.  It is 100% FREE!  The game is set to the Common Core Educational Standards, and is web-based, so it can be played on any device.  Many of the questions are accompanied by tutorials like the ones you saw here.

One Last Thing

If you like this post and found it helpful, please leave a brief comment.   As a teacher, perhaps the greatest reward I receive is from parents, children, and fellow teachers who use my strategies of education and succeed.

My mission in life and as an educator is to make people feel empowered, self-assured, and happy about who they are in this world!  We all have gifts to bestow upon our world.  Go forth and do so, and know that you are awesome!

Have a fantastic day – Brian McCoy