Division

How to do Long Division – Four Digits Divided by Two (3,431 ÷ 73) with Online Tutoring in Math

How to do Long Division - Four Digits Divided by Two

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.

*If your child continues to struggle, they should complete the “On Your Own” problems as a “Work with Me” problem.  I have a number of students with gaps in their learning and others with a variety of  learning disabilities.  I have had incredible success, by having those students complete 5 to 7 problems within each lesson as a “Work with Me” problem.  They play a bit of the video, then pause it  and copy, then watch a bit more, pause it and copy.  My students Play – Pause – and Copy until the entire problem is solved.  This is like having a personal tutor working through each and every problem with your child.  Every one of my students who has used this strategy has passed the Common Core Proficiency Exam.

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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.

 

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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!

 

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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!


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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!

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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!

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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!

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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!

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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!
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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

 

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