### There an Easier Way for Children to Learn Long Division!

For years I have watched children struggle with long division. I have seen them get more and more frustrated as they rise through the grades. Many times they have given up by the time they get to me in 6^{th} grade. I have looked for an easier strategy – one where all children would be successful dividing large numbers. During a summer break, I dedicated all my free time to developing an alternative to long division.

A number of years ago, I started teaching my students a strategy called, Area Multiplication, to help those students who did not understand the algorithm for 4-digit by 3-digit multiplication.

Since division is simply the opposite operation of multiplication, I decided to reverse the concept of Area Multiplication. That was my challenge. How was I going to take the concept of the Area Multiplication and come up with a new way to do long division that was easier for children to learn? Well, after hours and hours of trial and error, I believe that I have developed an easier way for children to divide numbers. I will demonstrate this strategy in the following series of video-posts.

# Area Division

Area Division is designed so that

ANYONE can succeed at Long Division!

Hello, my name is Brian McCoy, and I am a credentialed teacher in the state of California. I have been teaching elementary and middle school children for over a quarter of a century. After years of watching children struggle with the algorithm for long division, I set out to develop an easier method. I created Area Division, which is close enough to long division, that children can switch back once they understand the concepts.

Let me be clear, Area Division is NOT for children who already understand long division. The process does take a bit more time. However, Area Division is structure in such a way that absolutely anyone can successfully divide large numbers. I developed Area Division by incorporating skip counting, (I refer to it as “counting by the numbers” in my videos), and an area box for the division. By incorporating counting by the numbers, even students who do not know their multiplication facts can successfully divide large numbers.

__WHEN CHILDREN DO NOT KNOW THEIR MULTIPLICATION FACTS…
__

__THEY NEED A STRATEGY!__

By simply writing the “*counting by the numbers*” above their problem, children who do NOT know their multiplication fact can succeed! For example, with the problem 535 ÷ 7; Children can write “*counting by the numbers*” for 7’s. The mathematical model below shows the results.

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 developed these posts in a similar manner to how I teach in the classroom.

**First**, I introduce a concept and just have children watch how to complete the strategy.

**Next**, I have children complete the strategy step-by-step along side me.

**Finally**, I have children attempt the strategy on their own, and then I go over the strategy with them.

Without further ado, here is the Watch Me Problem:

__WATCH ME__

__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.

### Cookies for sale

1 – Watch Me

You love to bake. Your favorite thing to bake is cookies, and everyone says your cookies are the best! So, you decide to sell your cookies. You have baked 524 cookies. Each cookie box holds 8-cookies.

How many boxes do you need?

Will you have any cookies left over?

Your Challenge:

This one is easy. Simply watch the video below to see how this problem is solved. Pay close attention. Your next challenge will be very similar to this one.

__WORK WITH ME__

__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.

### Mountain Bike Tour

2 – Work with Me

You and your family love mountain biking. You decide to go on a family mountain biking tour across a 230-mile trail of the Rocky Mountains. Your plan is to ride 7 miles each day.

How many days will it take you to complete your mountain biking tour?

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__

__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.

*Junior NASA Club*

3 – On Your Own

You have joined the Junior NASA Club of America. It is a very cool club that teaches you about being an astronaut. Today you get to put on a space suit and fly in a super fast jet. Your jet will fly super fast for 9 seconds. You will travel 345 miles in that time.

How far will you travel each second?

Your Challenge:

__Gather the following materials__:

- A blank piece of paper
- A pencil

Solve this problem just as you did in the earlier one.

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 link below:

Keep your paper with you while you watch the video.

If you made a mistake, pause the video and fix your mistake.

That’s the fastest way to learn!

# This post is an introduction to my Tutorial eBook

All My Books Include Video Tutorials

for each and every problem!

**Price**: $2.^{99}^{
}**Coming Soon to Amazon**

I have completed the planning and outline stages of this book, and will be publishing it soon.

If you would like to be notified as soon as it is published, leave a comment below, and I will let you know as soon as it is available.

There are seven levels 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. Each subsequent level rises to the next level of difficulty.

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

# CHOOSING THE RIGHT LEVEL

I have created seven blog-posts that introduce Area Division. Each blog-post corresponds to a complete book, which teaches that level of competency. The blog-posts offer a free sample for each book within this series. Because Area Division is a new way of doing long division, I suggest you start on my very first lesson, which you can review for free by clicking here, (http://teachersdungeon.com/blog/long-division-answers-there-is-an-easier-way/ ). Each blog-post contains three problems that are accompanied by a video tutorial.

__Work through the blog-post with me. __

__Work through the blog-post with me.__

- If you are able to do all three problems, and you fully understand the lesson, move onto the next level.
- If you are not able complete the third problem on your own, then you are at your level of learning. I suggest that stop and purchase that book.

Do not worry if the concept seems too basic. For example, if you are in 6^{th}, 7^{th}, or 8^{th} grade, but you are still struggling with long division, and you need to start on the very first book in this series – don’t worry!

I make many analogies to training in sports. After college, I coached gymnastics. Often a gymnast would come to our gymnastics club after learning poor techniques at a recreational sport facility. In order to be a high level gymnast, you must have proper basic techniques otherwise, you will never be able to achieve the incredible skills that are performed at the Olympics and by our collegiate gymnasts.

When any gymnast came into our club with poor technique, I would retrain the basics. Sometimes this would take months. But, in the end, these gymnasts would win medals and perform high-level skills with excellent technique. The same is true with mathematics. If you understand the basics of mathematics, you will excel as you rise through the grades and into college.

Therefore, do no despair if you need to start at the very first lesson. Once you perfect your basic understanding of Area Division, you will excel and begin winning high grades in mathematics!

### Books within this Series

I have planned seven books for this series on Area Division. At this point, I have not completed the entire series, but I have blog-posts that introduce each level. You can get a preview of each book by clicking on the links below and going to my blog. After reading the post, please leave a comment. I love hearing your thoughts.

Area Division – Book 1

An Introduction to Area Division

After reading this book and completing the activities, you will be able to divide a 3-digit number by a 1-digit number (ie: 524 ÷ 8 = 65 R 4). This book forms the building blocks of understanding for all books in this series.

Book 2

Area Division – Dividing 4-digits by 1

After reading this book and completing the activities, you will be able to divide a 4-digit number by a 1-digit number (ie: 4,224 ÷ 8 = 528). If you do not already know all your multiplication facts, watch Counting by the Numbers and count along side me. In time you will no longer need to use this strategy, and you will know all your multiplication facts.

Book 3

Area Division – Dividing 3-digits by 2

After reading this book and completing the activities, you will be able to divide a 4-digit number by a 1-digit number (ie: 738 ÷ 82 = 9). If you do not already know all your multiplication facts, watch Counting by the Numbers and count along side me. In time you will no longer need to use this strategy, and you will know all your multiplication facts.

Book 4

Area Division – Dividing 4-digits by 2

After reading this book and completing the activities, you will be able to divide a 4-digit number by a 1-digit number (ie: 2,952 ÷ 82 = 36). If you do not already know all your multiplication facts, watch Counting by the Numbers and count along side me. In time you will no longer need to use this strategy, and you will know all your multiplication facts.

Book 5

Area Division – Dividing 5-digits by 3

After reading this book and completing the activities, you will be able to divide a 4-digit number by a 1-digit number (ie: 70,864 ÷ 824 = 86). If you do not already know all your multiplication facts, watch Counting by the Numbers and count along side me. In time you will no longer need to use this strategy, and you will know all your multiplication facts.

Book 6

Area Division – Dividing When Your Quotient is a Decimal

After reading this book and completing the activities, you will be able to divide a 4-digit number by a 1-digit number (ie: 533 ÷ 82 = 6.5). If you do not already know all your multiplication facts, watch Counting by the Numbers and count along side me. In time you will no longer need to use this strategy, and you will know all your multiplication facts.

Book 7

Area Division – Dividing When your Divisor is a Decimal

After reading this book and completing the activities, you will be able to divide a 4-digit number by a 1-digit number (ie: 35 ÷ 0.8 = 43.75) & (ie: 28.8 ÷ 0.8 = 36). If you do not already know all your multiplication facts, watch Counting by the Numbers and count along side me. In time you will no longer need to use this strategy, and you will know all your multiplication facts.

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

# Other Books & Creations by Brian D. McCoy

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.

An Easy Way to Understand Fractions

Fractions tend to be very abstract. Because of this, children often have a very hard time understanding what in the world is happening with fractions. In this first book, I will demonstrate how to break a whole into parts. This may seem like a very basic concept, but it is essential to understanding fractions. For a FREE preview of this book, click here, __An Easy Way to Understand Fractions__.

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.

Have a great day – Brian McCoy

Hi Mr. McCoy, I wanted to thank you for showing me how to do area division. It is a lot easier than doing long division.

Hi there Evelyn –

I am very glad to hear that this blog post has helped you.

If you have another educational topic that you find difficult – let me know.

I will see if I can help.

Have a great day!

I think area division is really cool.

This video helped me understand area division, which is much easier than long division.

Area division is super cool, and I didn’t even know that it existed until I read this post.

Hi there Franccesca –

I am glad to hear that you like using Area Division to solve your math problems.

Good luck to you.

Have a great day!

Hello again Mr. McCoy, I like Area Division so much that I had to write another comment. I think it is so much easier that long division, and I think people can learn it faster. The part I like the best is when you make a mistake. You can just add an other box and keep on going. My math is much better with Area Division!

Hi Evelyn,

I sure appreciate your comments.

Keep up the great work & have a fantastic day!

I like, will read more. Cheers!

Hi Alane –

I am glad to hear that you enjoyed this post.

Thank you for your comment.

Have a great day!

Still loving all of the videos.

Your blogs are helping!

Thanks!

Hi there Malik –

That’s Great! Thanks so much for sharing your success.

Have a fantastic day!

Thanks, I just can’t stop watching the blogs Mr.Mccoy. This is really helping do my home work now and some times even on test. Thanks so much for taking all your time out to make these videos!

Hi Malik –

Thank you for your kind words. It is great to hear that my blog is helping you.

Best wishes to you my friend and have a great day!

You to have a fantastic day