Division

How to do Long Division – Three Digits Divided by Two (816 ÷ 17) with Online Tutoring in Math

How to do Long Division - Three Digits Divided by Two

Long division is a difficult concept for many elementary students to understand.  That is why I developed the strategies taught within my series entitled, Area Division.  HOW TO DO LONG DIVISION is designed in a manner that ensures all children can be successful when dividing large numbers.  This is the third article in a series of seven.  Each article is a complete lesson on division.  If you have not read the first article, you can click here to read why my strategies are so very successful.  In this third article we will focus on three digit numbers divided by two 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 Two.

ESTIMATING WHEN YOU HAVE A TWO-DIGIT DIVISOR
Typically, children are taught to round the devisor before estimating how many time the divisor will go into the dividend.  For example, with the problem 433 ÷ 74; Children are taught to round 74 down to 70.  This can cause a lot of frustration and erasing.  Next, since 7 x 6 = 42, you would multiply by 6.  But as you can see below, the 6 is too high and that would put you over, so you would have to erase and try again.

ESTIMATING HIGH WITH AREA DIVISION
When children are struggling with the basic concept of division, you need to simplify the process, so they can feel successful.  This is why I teach children to estimate high.  With some problems, like 719 ÷ 83, it does add an extra step, but as you can see in the mathematical model below; there is NO erasing and it works every time.

With this strategy, children will never get frustrated, because they guess too high and have to erase!

The strategy of counting by the numbers is designed specifically for children who do NOT know their multiplication facts.  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.

How to do Long Division - Three Digits Divided by Two (816 ÷ 17)

 

I have scaffold the problems in each lesson.  The first problem is a “Watch Me” problem.  The second is a “Work with Me” problem.  All the rest are “On Your Own” problems.  For more information about the scaffolding process, visit the first article on How to do Long Division.

*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
17 Sleeping Lions

You are on a safari in the heart of Africa.  You look to the side of your jeep and see 17 sleeping lions.  As they sleep they are attacked by 816 buzzing flies that land on them and try to disturb their sleep.  If the flies are equally dispersed among the 17 lions, how many flies are on each lion?

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!

 

 

Does Your Child Need a Great Book to Read?

My son read every single one of these Magic Tree House books when he was young.  They really helped to develop his reading fluency as well as his comprehension.

I wrote this book when I was teaching in the primary grades.  It’s about a fourth grade boy who is being bullied.  He is taken to another world where he learns to face his fears. In the process, he saves the entire planet from an all-out war. I wrote this book as a testament to myself.  I have dyslexia, and for years I felt limited by my disability.  I decided to write a novel to prove that no disability could hold me back.  Return to the Elves is a fantasy book for children in fifth and sixth grades. This is my all-time favorite book for 6th grade.
It is about a young lady in the time of the Pharos.  She is quite the heroine. This book dovetails perfectly with the sixth grade standard of studying Ancient Egypt.

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.

How to do Long Division with Online Tutoring in Math: Challenge 2
Work With Me

Tiger Streak

You are a scientist studying the mighty tiger on the Asian Continent.  You find a streak of 37 tigers?  Your team of scientists add all their stripes and find that they have 967 stripes in all.  If each tiger has the same amount of stripes, then how many stripes does each tiger have?

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.
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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.

How to do Long Division with Online Tutoring in Math: Challenge 3
On Your Own

Lion Dentistry

You are an animal dentist.  You clean teeth on the most dangerous of felons.  You have cleaned 946 lion’s teeth.  If each lion had 43 teeth, then how many lions did you work your dentistry miracle on?

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

Prestigious Mouse Store

You own a prestigious mouse store.  Your mice are the cutest, and people travel from all over the US to to buy your mice as pets.  You feed your mice peanuts.  You purchase 793 peanuts.  You have 68 mice in your store.  If each mouse eats the same amount of peanuts, how many peanuts does each mouse eat?

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

Pink Flamingos

You and your parents are on vacation in South America.  You are visiting a lagoon where there is a flock of pink flamingos.  The flamingos are eating shrimp.  There are 37 pink flamingos in the flock that you are observing.  Together they eat 999 shrimp.  If they each eat the same amount of shrimp, how many shrimp does each pink flamingo eat?

Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Is it time for a relaxing cup of Tea?

Try a cup of Teavana Peach Tranquility tea.  I am sure that you will love it!

How to do Long Division with Online Tutoring in Math: Challenge 6
On Your Own

Mabel Monkey

Say hello to Mabel.  She is an adorable little monkey who loves nothing more than swing & sing.  Mable swings from tree limb to tree limb, while she sings her monkey songs.  Last month alone Mabel swung from 638 tree limbs while singing 89 different monkey songs.  If Mabel swung from the same amount of trees for each song, about how many tree limbs did Mable swing from for each song?

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

Marine Biologist

You are a marine biologist studying the Great Barrier Reef off the coast of Australia.  You have studied 406 different varieties of corral on your last 76 dives.  If you studied the same amount of corral varieties on each dive, about how many different types of corral did you study on each dive?

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

Janet the Incredible Jockey

Janet is an incredible jockey.  She is 5 feet 2 inches tall and weighs 109 pounds, which feels like nothing to her thoroughbred race horse.  In order to train for a big race, Janet trains by riding 705 miles in the 47 days leading up to the race.  If Janet rides about the same amount of miles each day, how many miles does she ride every 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 9
On Your Own

Humberto the Hummingbird

Humberto is the fastest hummingbird in all of the Americas.  He is faster than any other hummingbird from northern tip of Canada to the southern tip of Chile.  You take a slow-motion video of him and count as his wings flap.  They flap 648 times.  If Humberto’s wings beat 72 times per second, how long is your video?

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

A Creak Hike

It’s Father’s Day, so you and your bother go on a day hike with your dad.  You are hiking up this creek when your brother spots a number of tadpoles.  You are amazed at how many tadpoles are in this creek.  You decide to count them and find that there are 367 tadpoles in a 34-yard stretch of this creek.  About how many tadpoles could you expect to find in each yard of this creek?

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!

  1. The following problems can all be solved with the same strategies we used to solve the first ten problems.
  2. Solve all four problems on each page.
  3. Watch the video & correct your work.
  4. Review your work with your teacher.
  5. 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 ÷ 74 =
Problem 2     426 ÷ 69 =
Problem 3     947 ÷ 18 =
Problem 4     762 ÷ 93 =
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
12

Problem 1      455 ÷ 26 =
Problem 2     879 ÷ 85 =
Problem 3     963 ÷ 59 =
Problem 4     721 ÷ 37 =
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
13

Problem 1      594 ÷ 46 =
Problem 2     389 ÷ 89 =
Problem 3     652 ÷ 77 =
Problem 4     908 ÷ 65 =
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
14

Problem 1      402 ÷ 91 =
Problem 2     669 ÷ 83 =
Problem 3     809 ÷ 36 =
Problem 4     176 ÷ 44 =
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

 

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