Long Division Made Easy – 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.  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

If you are following these 8-video posts in order, then you have already read my explanation about Area Division.  Please skip directly to “On to the Videos” below.

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.

Break it Down      

Break it Down is a strategy that can be used with Area Division.  However, this is only used when a child does not know their multiplication fact, or if they estimate wrong.   If a child knows their multiplication facts and can estimate correctly there is no need for the Break it Down strategy.
Break it Down works particularly well for students that do not know all their multiplication facts.  The video below shows how children can use the “Break it Down” strategy with any division problem.

This is my Fifth of Eight Video-Posts

  1. An Introduction to Area Division
  2. Dividing a 4-digit number by a 1-digit number (ie: 4,224 ÷ 8)
  3. Dividing a 3-digit number by a 2-digit number (ie: 738 ÷ 82)
  4. Dividing a 4-digit number by a 2-digit number (ie: 2,952 ÷ 82)
  5. Dividing a 5-digit number by a 3-digit number (ie: 50,864 ÷ 824)
  6. Dividing a 3-digit number by a 2-digit number with decimal representation of the remainder (ie: 533 ÷ 82 = 6.5) – Coming Soon
  7. Dividing a 2-digit number by a tenth-place decimal (ie: 35 ÷ 0.8 = 43.75) – Coming Soon
  8. Dividing a decimal by another decimal (ie: 28.8 ÷ 0.8 = 36) – Coming Soon

In the summer of 2017, I decided to develop an alternative to long division.  That alternative is called “Area Division”.  I will teach you Area Division in a series of video-posts.

Please go in order

The video below is the second progression for learning my latest strategy, Area Division.  In order to fully understand this new strategy, it is important to start with my first video-post (An Introduction to Area Division) and work your way up.  If your child is already in 5th or 6th grade, this may seem too easy.  However, it is important that they understand the basic concept of how this new strategy works before they jump to the problems they’re doing in class.  If they take their time and watch each consecutive video, you will understand this new method of division.  Then you will reap the rewards of success!

How to use these Video-Posts

First – Children are introduced to a concept with a “WATCH ME” demonstration video.

Then – Children continue developing their skills by working side-by-side with me.  They are given a problem and work through that problem, while they watch the “WORK WITH ME” video.

Finally – Children perfect their skills by completing problems by themselves.  Then they will watch the “ON YOUR OWN” videos.  These last videos encourage the child’s independent work, and then review the problem making sure that the child gains understanding.

On to the Video Lessons

These Video-Posts are designed in a similar manner to how I teach a concept in my class. Therefore, I will be addressing the children directly for the rest of this post.

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.

 

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.

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!

 

 

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!

 

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!

 

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.

If you or your child needs further assistance, 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 Brian McCoy

My Adventures with ChickenSpike – A Children’s Fantasy Book intended for readers in 2nd through 4th grades.

 

 

 

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 – 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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