HOW TO DO LONG DIVISION is designed to ensure that your child is successful in dividing large numbers. This is the first article in a series of seven. In this article we will focus on three 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 – Four Digits Divided by One.
After years of watching children struggle with the standard 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.
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.
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.
Each and every problem is link to a math video tutorial!
I have incorporated a cyclical learning approach with math tutorial videos. Each educational concept is introduced, then reinforced, then revisited again and again – with each subsequent step rising to the next level of competency. There are 7-lesson that take children from the basics of division to dividing decimals by decimals. Because Area Division is slightly different from the conventional Long Division, it is important that you begin the appropriate level of competency.
I have scaffold these problems:
- The first problem is a Watch ME.
Students should read the problem and then click on the video to watch how the problem is solved.
Students should copy the entire problem into their notebook. - The second problem is a WORK WITH ME.
Students should read the problem then gather all their materials, so that they can do the problem with me.
Students should play the math tutorial video and pause it when told.
Finally, Students should copy the problem down on their own paper, and solve it with me.
When the math tutorial video is complete, students should review the problem with their teacher or parent. - All the following problems are ON YOUR OWN.
Students should solve the problems just as they did in the first two.
Once you they completed the problem, they should watch the math tutorial video.
Students should keep their paper with them while they watch the video.
If they made a mistake, they should pause the math tutorial video and fix their mistake.
That’s the fastest way to learn!
*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
Cookies For Sale
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?
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!
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.
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How to do Long Division with Online Tutoring in Math: Challenge 2
Work With Me
Mountain Bike Tour
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?
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.
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.
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How to do Long Division with Online Tutoring in Math: Challenge 3
On Your Own
Junior NASA Club
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?
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 4
On Your Own
Professional Frog Catcher
You are a professional frog catcher. You can catch any frog, any time, anywhere! You’re called to a farm in Nebraska. The farmer wants you to catch all the frogs in his pond, because their croaking is driving him nutty. You catch 282 frogs in just 6-days. You catch the same amount of frogs each day. How many frogs do you catch 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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How to do Long Division with Online Tutoring in Math: Challenge 5
On Your Own
Racing Armadillo
You have a pet armadillo that runs like the wind. You decide to enter your pet in the Annual Texas Armadillo Race. The race is 427 miles across the dusty sands of Texas. If your armadillo can run 4 miles per hour for the entire race, how many hours will it take him to complete the race?
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 6
On Your Own
Scarlett Squirrel
Scarlett Squirrel is preparing for winter along side the Grand Canyon. She has only 3 days left before she must go into hibernation. Before her long sleep she must gather 765 nuts. How many nuts must Scarlett Squirrel collect each day in order to obtain her goal?
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
Emma & Ella Elephant
Emma Elephant and her daughter Ella are thirsty. It is the dry season in Africa, and the nearest water is 946 kilometers across the savanna. Emma and baby Ella walk 8 kilometers an hour. How many hours until Emma & Ella get to drink the cool, refreshing water?
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
Pamela Piglet
Pamela Piglet loves nothing more than the thrill of eating slop. Her goal is to grow even bigger than her mother and win the grade prize at the state fair. Pamela knows that she needs to eat a lot of slop if she is going to obtain her goal. Each day she is given 871 grams of food. Farmer Johannes, her owner, feeds her nines time each day. How many grams of food does Pamela Piglet eat at each meal?
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
Hadar Hippo
Hadar Hippo lives in this beautiful lagoon. The lagoon is perfect for Hadar, because there is plenty of aquatic grasses, and reeds for him to eat. Hadar’s mouth is so big that he can get 432 grams of vegetation in every 4-bites of food. How many grams of of grasses and reeds does Hadar eat per bite?
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
Leonardo Lizard
Meet Leonardo. He is a lizard living in the desert of Arizona. Leonardo likes to bath in the sun until his entire body is good and warm. Then he races across the sandstone rocks. His goal is to race across 678 rocks in just 7 hours. How many rocks must Leonardo the Lizard run across 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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Drill & Kill
Here is where we Drill until we Kill all our mistakes!
- The following problems can all be solved with the same strategies we used to solve the first ten problems.
- Solve all four problems on each page.
- Watch the video & correct your work.
- Review your work with your teacher.
- 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 1 389 ÷ 7 =
Problem 2 486 ÷ 6 =
Problem 3 947 ÷ 8 =
Problem 4 762 ÷ 9 =
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Drill & Kill Any Mistakes
Challenge 12
Problem 1 555 ÷ 6 =
Problem 2 379 ÷ 8 =
Problem 3 963 ÷ 4 =
Problem 4 721 ÷ 3 =
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Drill & Kill Any Mistakes
Challenge 13
Problem 1 594 ÷ 4 =
Problem 2 389 ÷ 8 =
Problem 3 752 ÷ 7 =
Problem 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 1 492 ÷ 9 =
Problem 2 659 ÷ 8 =
Problem 3 898 ÷ 3 =
Problem 4 976 ÷ 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