5th Grade Division Problems – An Easier Way to Divide Large Numbers (Video Tutorials included)!

Long Division
The Bigger the Numbers – The More Room for Errors!

Long division is an awkward system that confuses many students.  Even when children understand the concept behind long division, they still struggle if they can not write neatly and in straight columns.  Beyond that – children struggle further when they estimate incorrectly, because they have to erase and start again.  The whole system of long division is outdated and confusing.  This post, 5th Grade Division Problems, will show you an alternative.

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.

Baby Llamas For Sale

1 – Watch Me

You are raising baby llamas and sell 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?

Your Challenge:

This one is easy.  Click on the link below to watch how this problem is solved.  Pay close attention.  The 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.

Road Trip

2 – Work with Me

Your parents just buy 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 got from California to New York in 43-hours, how fast did you drive?

Your Challenge:

This one is a little harder.

You will need the following materials:

  • A blank piece of paper
  • A pencil

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

Pay close attention.  The 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.

Grand Prix Motorcycle Race

3 – On Your Own

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?

Your Challenge:

 You will need the following materials:

  • A blank piece of paper
  • A pencil

This problem is solved just like the earlier one.  If your estimate is incorrect, you must 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!

 

 

Whale eating Krill

4 – On Your Own

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?

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 have  made a mistake, pause the video and fix your mistake.
  • That’s the fastest way to learn!

 

 

 

Deadly Poisonous Frogs

5 – On Your Own

You are a scientist studying the deadly frogs of South America.  These Frogs have beautiful colors, but they are deadly.  Scientists believe that the are deadly because of the insects that they eat, which include tiny beetles, termites, and fruit flies.

There are 59 frog eating 8,024 insects.  If they all eat the same amount of insects, how many insects does each frog eat?

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 6-digit number by a 3-digit number with decimal representation of the remainder (ie: 750,864 ÷ 824).  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.  5th Grade Division Problems 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
5th Grade Division Problems
(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.

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.

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