Long Division Made Easy – This post includes video tutorials that give your child a step-by-step training of this easy to use system!

Using long division is the only way to solve for a problem like 239,145 ÷ 321 – or is it.  This post, Long Division Made Easy, will show you an alternative.  The problem with long division is that children must know all their multiplication fact, they must be able to write in neat columns, and they must be able to estimate correctly the first time they guess how many time 321 can go into 239,145 – otherwise their paper can quickly become a shredded mess.

What if I told you that there was an easier way to divide large numbers?

Area Division

Area Division is an alternative to long division.  I have been teaching elementary and middle school children for over a quarter of a century.  Long division confuses more children than almost any other educational concept.   The entire process is confusing and quite frustrating for young minds.   As I will demonstrate, children do not have to estimate correctly every time when they do area division.  And, if they make a mistake, they simply create another area box and continue to solve the problem.

 

 

WATCH ME

For this first problem, I encourage you to simply watch how the problem is solved.  I like to introduce any new concept in this manner, so you can relax and focus on the strategies for solving the problem.

Flying to the moon

1 – Watch Me

You recently joined the Junior NASA Club of America.  As a member of the club, you get to board a rocket ship and fly to the moon.  You will land on the moon and stay there fore 24 hours.  Then you will return home.  The moon is 239,145 miles from Earth.  Your rocket ship will fly 321 miles per hour.

How long will it take you to reach the moon?

Your Challenge:

This one is easy.  Click on the link below to watch how this problem is solved.  Pay close attention.  Your next challenge will be very similar to this one.

 

WORK WITH ME

For this second problem, I encourage you to develop your skills by working side-by-side with me.  I would like you to watch a bit of the video, then pause it, and copy what I do on your paper.

Don’t Cry Over Spilt Sugar

2 – Work with Me

 

It’s your mother’s birthday, so you decide to bake her a cake.  You reach for the sugar and carry it from the pantry towards the counter.  Unfortunately, the bag rips.  Sugar spills all over the floor. There are 56,566 granules of sugar on your kitchen floor.  You begin to sweep the sugar up with a broom and dust pan.  If each scoop of the dust pan picks up 768 granules of sugar, how many scoops will you need to complete before you have it all picked up?

Your Challenge:

This one is a little harder.

Gather the following materials:

  • A blank piece of paper
  • A pencil

Watch and complete this challenge with me.  I will take you through a step-by-step process.  Together, we will solve this problem.

Pay close attention.  Your next challenge will be very similar to this one.

 

ON YOUR OWN

For the remaining problem, I encourage you to solidify their skills by completing the problems on your own.  Once you have completed the problem, watch the video, and correct your mistakes.  Over the years, I have found that children make substantial jumps in understanding when they find their own mistakes and then fix them.  That is why I have included this form of teaching into my ebooks.

Colony of Ants

3 – On Your Own

The largest ant colony in the US is in California.  This one ant colony runs for 560 miles along the coast.  What if 246 ant eaters escaped from the zoo and started eating as fast as they could?  What if they ate a total of 44,034 ants before they were caught and returned to the zoo?  If they all eat the same amount of ants, how many ants would each ant eater have eaten?

Your Challenge:

Gather the following materials:

  • A blank piece of paper
  • A pencil

Solve this problem just as you did in the earlier one.  If you estimate incorrectly, make another area box and continue to solve the problem.

Don’t worry if you make a mistake – Some of our biggest leaps in learning come when we make a mistake then see what we did wrong and fix it.

  • Once you have completed this challenge, click the video below:
  • Keep your paper with you while you watch the video.
  • If you make a mistake, pause the video and fix your mistake.
  • That’s the fastest way to learn!

Video Coming Soon

 

Mosquitoes on Silver Lake

4 – On Your Own

You live on Silver Lake.  It’s beautiful, and you love swimming in the cool waters on hot days.  Unfortunately, there are 327,294 mosquitoes that fly around your lake and attack you when you’re trying to swim.  Luckily the bats come out at night.  There are 342 bats that live near Silver Lake.  If each bat ate the same amount of mosquitoes, how many mosquitoes must each bat each in order for your lake home to be free of the blood sucking insects?

Your Challenge:

Gather the following materials:

  • A blank piece of paper
  • A pencil

Solve this problem just as you did in the earlier one.  If you estimate incorrectly, make another area box and continue to solve the problem.

Don’t worry if you make a mistake – Some of our biggest leaps in learning come when we make a mistake then see what we did wrong and fix it.

  • Once you have completed this challenge, click the video below:
  • Keep your paper with you while you watch the video.
  • If you make a mistake, pause the video and fix your mistake.
  • That’s the fastest way to learn!

Video Coming Soon

 

 

Scorpion Attack

5 – On Your Own

Your home is under attack.  There are 44,942 scorpions racing down the hill toward your home.  Luckily, you raise meerkats, which eat scorpions.  As a matter of fact, scorpions are like a big old chocolate cake to meerkat.  They think scorpions are tasty.  You have 147 meerkats at your home.  You let all your meerkats go in your yard to protect you from the scorpions.  How many scorpions must each meerkat eat in order to save your home from this scorpion attack?

Your Challenge:

Gather the following materials:

  • A blank piece of paper
  • A pencil

Solve this problem just as you did in the earlier one.  If you estimate incorrectly, make another area box and continue to solve the problem.

Don’t worry if you make a mistake – Some of our biggest leaps in learning come when we make a mistake then see what we did wrong and fix it.

  • Once you have completed this challenge, click the video below:
  • Keep your paper with you while you watch the video.
  • If you make a mistake, pause the video and fix your mistake.
  • That’s the fastest way to learn!

 

Video Coming Soon

Your next challenge will be in the Video-Blog-Post, Dividing a 3-digit number by a 2-digit number with decimal representation of the remainder (ie: 533 ÷ 82 = 6.5).  The concept builds from this one, so it is important that you understand all the videos that you have just worked through.

Area Division
Books within this series

I have completed the planning and outline stages of this book, and will be publishing it soon.  Long Division Made Easy introduces one step within my cyclical learning approach to Area Division.

If you would like to be notified as soon as it is published, shoot me an email at brian@teachersdungeon.com.  I will put you on my email list and let you know as soon as it is available.

Area Division will help children in 3rd through 6th grades who are struggling with the old algorithm of long division.  In this book, I will teach children the simplistic system of Area Division.

There are eight books in this series on Area Division.  I have incorporated a cyclical learning approach, where each educational concept is first introduced, then reinforced, then revisited again and again – with each subsequent book rising to the next level of competency.

For this reason, it is important that you begin the appropriate level of competency.

Choosing the Right Book

If you are a student who is struggling to understand concepts in this video-post, I suggest you go back to my very first post (An Introduction to Area Division).  Do not worry if the concept seems too low for your grade.  For example, if you are in 6th grade, but you are still struggling with long division – don’t worry.  There is nothing wrong with going back to the basic back for a moment to improve your technique.  This will only make your math stronger as you increase in difficulty.

If you are able to follow the concepts of this video-post, but you can not complete the third problem on your own – Then this is the right book for you.  You are ready to learn these concepts.

If you can complete the third problem in this video-post on your own, and you completely understand how it is done, then you are ready for the next concept in this series.  Go to my next video-post.

All my books video tutorials linked to each and every problem.  Below you will find links to blog-posts that give you a free preview of each book.  By previewing my books, you can see your exact level of understanding, and which book you need.

Area Division – Book 1
An Introduction to Area Division
(ie: 524 ÷ 8 = 65 R 4)

Book 2
Area Division – Dividing 4-digits by 1
(ie: 4,224 ÷ 8 = 528)

Book 3
Area Division – Dividing 3-digits by 2
(ie: 738 ÷ 82 = 9)

Book 4
Area Division – Dividing 4-digits by 2
(ie: 2,952 ÷ 82 = 36)

Book 5
Area Division – Dividing 5-digits by 3
Long Division Made Easy
(ie: 70,864 ÷ 824 = 86)

Book 6
Area Division – Dividing When your Quotient is a DecimalComing Soon
(ie: 533 ÷ 82 = 6.5)

Book 7
Area Division – Dividing When your Divisor is a DecimalComing Soon
(ie: 35 ÷ 0.8 = 43.75) & (ie: 28.8 ÷ 0.8 = 36)

If you need more help, please leave a comment below.  I am happy to help and will reply as quickly as possible.

Have a great day – Brian McCoy

On another note –

Do you think an educational game could help your child learn?
Read my post entitled: Free Learning Games Kids – Do they really motivate children to learn?

Novels by McCoy

I have written a number of books that are available on Amazon.  I have nonfiction books on mathematics that link to video tutorials and are designed to help children gain a deeper understanding of the math.  Here is a link to the first book in my series on fractions.  I have also written a chapter book and a young adult novel.  You can have a free preview by clicking on the links below.

MY ADVENTURES WITH CHICKENSPIKE – This is a chapter book that is perfect for children in 3rd and 4th grades.  My Adventures with ChickenSpike is a Children’s Fantasy Book.  The main character is a young boy who is being bullied.  He travels to a distant planet and finds his inner strength.  By the time he returns home not only is he no longer a victim, he is a hero!

 

 

RED – This is a young adult novel that is especially designed for children in 5th and 6th grades.  Red is an action packed adventure with two main characters and a number of supporting characters that add humor and drama to this novel.  Bruno Vic and Evelyn Rose attend Sir Francis Drake Middle School.  Bruno is big, street-wise, and tough, but he also has high morals and undying loyalty to his friends.  Evelyn Rose was born rich, but an unfortunate turn of events has landed her in the heart of the Tenderloin District of San Francisco.  Bruno, Evelyn, and their friends are desperate to steer clear of the gangs, so the turn to a mysterious man that the gangs seem to fear.  His name is Red.

RED – an Action & Adventure Novel intended for readers in Middle School

Want more Tutorials?

I’ve created an Educational Fantasy Game called, TeachersDungeon.  It 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.

2 Comments on “Long Division Made Easy – This post includes video tutorials that give your child a step-by-step training of this easy to use system!

  1. Hi and thank you for this post!

    Area division is a really easy way to learn how to divide numbers.
    It is so much easier to use than long division.
    I personally recommend area division over long division.

    1. Hello Owen –
      I am very happy to hear that you like area division.
      I agree – I think it is a lot easier than learning long division.
      Thanks for sharing your thoughts.
      Have a great day!

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