Division

How to do Long Division - Four Digits Divided by Two (3,431 ÷ 73) with Online Tutoring in Math

How to do Long Division - Four Digits Divided by Two
Unlock your child’s potential in math with our latest blog post!

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

Long division can be incredibly challenging for children. If your child doesn’t understand long division, dividing a four-digit number by a two-digit number can feel overwhelming and can severely impact their self-esteem.

This lack of understanding can lead to frustration, a lack of confidence, and a reluctance to engage with math. As these feelings build, your child may start to fall behind in their studies, making it difficult to catch up and succeed in future math courses.

This article, “HOW TO DO LONG DIVISION,” offers a simpler way to divide large numbers. In our blog post, your child will:

  • Discover an Easier Method: Learn a straightforward approach to long division that makes dividing large numbers manageable.
  • Build Confidence: Step-by-step instructions ensure that your child can successfully tackle division problems, boosting their self-esteem.
  • Achieve Long-term Success: A solid grasp of long division is essential for future math success.

This is the fourth 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 fourth article we will focus on four 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 – Five Digits Divided by Three.

The photo below show an example of how my students use area division to solve problems with a four digit number divided by a two digit number.  Notice that the first step is to write the “counting by the numbers” above their problem.  I also have kids estimate high.  That is why I have some of the number written in blue.  If you watch one of my videos, you can see this strategy in action.
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 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
Baby Llamas For Sale

You are raising baby llamas and selling 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?

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

Road Trip

Your parents just bought 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 go from California to New York in 43-hours, how fast do you drive?

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
Grand Prix Motorcycle Race

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?

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
Whale Eating Krill

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?

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
Deadly Poisonous Frogs

You are a scientist studying the deadly frogs of South America.  These frogs have beautiful colors, but they are deadly.  Scientists believe that they are deadly because of the insects that they eat, which includes tiny beetles, termites, and fruit flies.  There are 59 frogs eating 8,024 insects.  If they all eat the same amount of insects, how many insects does each frog 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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