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
Demystify Division with our latest blog post!

This post includes five sample problems to enhance your child’s understanding right from the start.

Long division is a difficult concept for many elementary students to grasp. The complexity of dividing large numbers can be overwhelming and lead to confusion and frustration.

When children struggle with long division, it can diminish their confidence and enthusiasm for learning math. This struggle can cause them to fall behind their peers, making it harder to catch up and succeed in future math courses.

To address this challenge, I developed the strategies taught in my series, “Area Division.” Our blog post, “HOW TO DO LONG DIVISION,” is designed to ensure all children can be successful when dividing large numbers. In this article, your child will:

  • Discover Effective Strategies: Learn innovative methods that simplify the process of long division.
  • Build Confidence: Step-by-step lessons will help your child overcome challenges and master division.
  • Achieve Long-term Success: A solid understanding of division is crucial for future mathematical success.

This is the third article in a series of seven, each providing a complete lesson on division. Visit our website (https://www.teachersdungeon.com/) for a comprehensive educational program designed to help kids become proficient in mathematics. By mastering these strategies, your child will gain a deeper, more concrete understanding of division, paving the way for a successful educational journey. Don’t miss out on this valuable resource—empower your child’s learning today!

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 in this article is a “Watch Me” problem.  The second is a “Work with Me” problem.  All the rest are “On Your Own” problems. 

*If your child needs a bit more support, 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.

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!

 

 

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.

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!

 

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!

 

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!

Want More Tutorials?

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