Division

How to do Long Division – Dividing when your answer is a Decimal (533 ÷ 82 = 6.5) with Online Tutoring in Math

How to do Long Division - Dividing when your answer is a Decimal (533 ÷ 82 = 6.5) with Online Tutoring in Math

This article is designed to make dividing easy, even when when your answer is a decimal.  I teach a number of strategies that ensures all children can be successful when dividing large numbers, even when dealing with decimals.  This is the sixth 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 sixth article we will focus on four digit numbers divided when your answer is a decimal.  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 – Dividing a Decimal by a Decimal.

533 ÷ 82 = 6.5

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.

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
Rock Climbing on a Sunny Day

You are an expert rock climber.  Your favorite thing to do on a sunny day is to climb a challenging escarpment.  This rock face is 559 feet high.  You climb to the top in just 86 minutes.  On an average, how many feet do you climb per minute?

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!

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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
Cloud Eating Camel

You are a scientist studying the strange occurrence of camels eating clouds.  This camel has eaten 108 clouds in just 48 hours.  On average, how many clouds did this camel eat per hour?

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
Nectar Guzzling Hummingbird

You are an ornithologist.  That’s a scientist who studies every aspect of birds, including their songs, their flight patterns, their physical appearances, and their migration patterns.  Today, you are studying the beautiful hummingbird.  This bird has drunk 703 milligrams of nectar in just 76 hours.  On average, how many milligrams of nectar has this bird drank per 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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How to do Long Division with Online Tutoring in Math: Challenge 4
On Your Own
Praying Mantis to the Rescue

You and your family just moved to a beautiful house that is surrounded by a deep forest of trees.  Unfortunately, there are hundreds of wasps, crickets, beetles, and black widow spiders.  You get 28 praying mantises as pets, because you heard that they eat wasps, crickets, and beetles, but that their favorite food is black widow spiders.  There are a total of 462 wasps, crickets, beetles, and black widow spiders in your yard.  If each praying mantis eats the same number of insects, how many insects does each praying mantis 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
Tiffany Tiger

Tiffany Tiger is thirsty.  She drinks 250 ounces of water with 40 laps of her tongue.  If she gets the same amount of water with each lap of her tongue, then how many ounces of water does Tiffany Tiger get with each lap of her tongue?

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
Darryl the Dragon Fly

Meet Darryl the Dragon Fly.  He is the hungriest dragon fly this side of the Mississippi, and his favorite food is mosquitoes.  Darryl catches 5 out of every 6 mosquitoes that fly past him.  In other words, he catches 5/6 of the mosquitos that fly past him.

How would you represent 5/6 as a decimal?

Hint – 5/6 can also be written as 5 ÷ 6

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
Suri Swan

Meet Suri Swan.  He sleeps most of the day away, dreaming about the swan that got away.  That’s right, Suri was in love with Sydney Swan.  In Suri’s mind, she was the most beautiful swan in the entire world.  But she loved another.  Now, Suri spends his days sleeping and thinking about the swan of his dreams.  Suri sleep 18 out of every 24 hours.  In other words, he sleeps 18/24 of the day.  How would you represent 18/24 as a decimal?

Hint – 18/24 can also be written as 18 ÷ 24

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
Lea the Ring-tailed Lemur

Leia the Ring-tailed Lemur is the perfect mother.  She is devoted to her baby and spends most of waking hours feeding him.  Leia sleeps 9 hours a day, snoozing in the treetops with her baby boy on her lap.  She spends 12 of her 15 waking hours feeding her baby.

Leia feeds her baby 12 out of every 15 hours that she is awake.  In other words, she feeds him 12/15 of her waking hours.

How would you represent 12/15 as a decimal?

Hint – 12/15 can also be written as 12 ÷ 15

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
Elfred Elephant

Say hello to Elfred Elephant.  Elfred Elephant is a sloppy drinker.  If you look closely you can see the steam of water dripping from his mouth.  As a matter of fact, Elfred spills 1/3 of all the water in his trunk.  How much of the water in Elfred’s trunk goes into his mouth and get drunk?

How would you represent your answer as a decimal?

Hint – 1/3 can also be written as 1 ÷ 3

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
Orango Orangutan

Little Orango is the newest addition to the Orangutan family living in Borneo.  Once he is a bit older, Orango will spend most of his day, high in the trees, swinging from branch to branch.  However, right now Orango is 4/5 of a year old, and he likes to spend his mornings laying on his back in the cool grasses.  How would you represent Orango’s age as a decimal?

Hint – 4/5 can also be written as 4 ÷ 5

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       324 ÷ 45 =
Problem 2     Convert 4/6 into a decimal
Problem 3     611 ÷ 65 =
Problem 4     Convert 5/9 into a decimal
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
12

Problem 1       378 ÷ 28 =
Problem 2     Convert 5/3 into a decimal
Problem 3     315 ÷ 75 =
Problem 4     Convert 7/5 into a decimal
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
13

Problem 1       574 ÷ 56 =
Problem 2     Convert 9/6 into a decimal
Problem 3     154 ÷ 88 =
Problem 4     Convert 7/8 into a decimal
Once you complete the problem – Hit PLAY on the math tutorial video below.  Good Luck!

Drill & Kill Any Mistakes
Challenge
14

Problem 1       116 ÷ 16 =
Problem 2     Convert 1/5 into a decimal
Problem 3      833 ÷ 98 =
Problem 4     Convert 3/15 into a decimal
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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