Division

How to do Long Division – Four Digits Divided by One (4,224 ÷ 8) with Online Tutoring in Math

How to do Long Division - Four Digits Divided by One (4,224 ÷ 8) with Online Tutoring in Math

I have designed, HOW TO DO LONG DIVISION in a manner that ensures all children can be successful when dividing large numbers.  This is the second 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 second article we will focus on four digit numbers divided by one 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 – Three Digits Divided by Two.

The photo below show an example of how my students use area division to solve problems with a four digit number divided by a one digit number.  Notice that the first step is to write the “counting by the numbers” above their problem.  This strategy is specifically designed 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.

Area Division - Article 2

 

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
Unicorns to the Rescue

You are traveling through a fantastic world of dwarves, giants, and trolls.  You are high on a bluff that overlooks a great lake when 4,389 trolls attack.  There is a thunderous sound of splashing hooves.  You look across the lake to see 7-Unicorns rushing to your rescue.

How many trolls does each unicorn have to defeat in order for you to escape?

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!

 

 

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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.

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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.

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

Lost Polar Bears

You are traveling through Alaska.  There are 6,391 polar bears that are lost in the tundra.  You decide to help them find their way by leading them to the nearest glacier.  However, you can only lead 8 polar bears per trip.

How many trips must you lead before all of the lost polar bears find a new home?

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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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 3
On Your Own

Eyes in a Peacock Muster

You own a Peacock farm.  Your favorite thing to do each morning is to look across the farm and see the muster of peacocks.  Muster is the noun we use to describe a group of peacocks.  As you know, Peacocks have the image of eyes on their tail feathers.  If a predator wants to eat them the peacocks will flash their tail feathers, and the predator will think that there are a lot of animals looking at him, so he will get scared and run away.

With their tail feathers flashing the eyes, you see 4,568 eyes.  If each tail feather has 3 eyes on it, how many tail feathers do your birds have?

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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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 4
On Your Own

Butterfly Eggs

You are walking through a green field of tall grasses and plants when you spot a number of butterflies.  You look a bit closer at the plants and notice that there are a ton of butterfly eggs on them.  As a matter of fact, there are 7,569 butterfly eggs on the plants.  If each butterfly lays 9 eggs, how many butterflies laid these eggs?

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

Apple Eaten Horses

You are a wrangler working on a horse ranch.  A wrangler is someone who works with horses to tame them, so people can ride them.  You love your horses and your horses love apples.  You bought 9,568 apples.  You give the apples to your six favorite horses.  How many apples does each horse 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

Waldon Wildebeest

Waldon Wildebeest lives in the African Planes.  He has a big herd, and lions are always trying to eat his family.  Waldon protects them.  He bashes the lions with his horns.  He kicks them with his powerful hind legs.  In the last 4 months, Waldon’s herd was attacked by 5,172 lions.  On average, how many lions attacked Waldon’s herd each month?

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

Valencia and Valentino

Valencia and Valentino were hiking with their family in the Grand Canyon.  They hiked all the way from the bottom of the canyon to the tippy-top and then sat down for a well-deserved rest.  They hiked 9,206 steps in just three hours.  On average how many steps did they hike each 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 8
On Your Own

Portia the Polo Playing Horse

Portia is the best polo playing horse the world has ever seen.  She is fast, agile, and fearless.  Her hooves race down the field chasing the ball from one end to the other, and Portia never tires.  She has had nine different riders who have won 3,672 matches.  If each polo-playing-rider that rode Portia won the same amount of matches, how many matches has each rider won?

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

Biking Fiend

You are a biking fiend.  You love the challenge of racing your bike through an obstacle course.  You peddle hard, race over a jump, and brake.  Then you turn on a dime, and race to the next jump.  During your latest competition, you completed 5,333 jumps in just 7 hours.  On average, how many jumps did you perform each 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 10
On Your Own

Set ’em Up Sam

Meet Sam Hudson.  At age seven he is perhaps the best camper in the entire United States.  He has helped more people than anyone else his age set up their tents.  While on an eight-day camping trip in Yellowstone National Park, Set ’em Up Sam helped 1,957 families set up their tents.  On average, how many tents did Sam set up per 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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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 ÷ 7 =
Problem 2     4,286 ÷ 6 =
Problem 3     7,947 ÷ 8 =
Problem 4     2,762 ÷ 9 =
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 ÷ 6 =
Problem 2      3,879 ÷ 8 =
Problem 3     3,963 ÷ 4 =
Problem 4     2,721 ÷ 3 =
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 ÷ 4 =
Problem 2     4,389 ÷ 8 =
Problem 3     6,752 ÷ 7 =
Problem 4    4,988 ÷ 6 =
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 ÷ 9 =
Problem 2      6,359 ÷ 8 =
Problem 3     8,098 ÷ 3 =
Problem 4     9,176 ÷ 4 =
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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