If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

## Unit 5: Lesson 4

Division with area models, want to join the conversation.

## Video transcript

## Area Model Division

The area of a shape is the space occupied by the shape .

- We can divide this rectangle into several small rectangles. Then, we can calculate the length of each small rectangle and add them together to find the length of the large rectangle.
- First, consider a small rectangle of width 15 units and length 20 units. The area of this rectangle is 300 square units. So the area of the rest of the rectangle is $555$ $–$ $300 = 255$ square units.

Thus, the length of the large rectangle is $20 + 10 + 7 = 37$ units. Therefore, $555 \div 15 = 37$.

## Related Games

Let’s learn how to use area model division to divide 825 by 5.

Step 1: Let’s start by breaking 825 into 500, 300, and 25, which are fairly easy to divide by 5.

Step 2: Now, let’s divide these partial dividends by the divisor 5 to get partial quotients:

500 divided by 5 gives us 100,

and lastly, 25 divided by 5 gives us 5.

Step 3: Finally, let’s add all partial quotients to get the final quotient:

100 + 60 + 5 gives us 165. Now, we have our final product, which is 165.

## Related Worksheets

## Area Model Division with a Remainder

Let’s look at some division area model examples.

Divide 443 by 4 using area model division.

Step 1: Let’s break the numbers into 400, 40, and 3.

Step 2: Dividing 400 by 4, we get 100,

Since 3 cannot be divided by 4, it will be our remainder.

Step 3: Now, we need to add 100 and 10 together to get a quotient, which gives us 110.

So, our final product is quotient $= 110$, remainder $= 3$.

## Area Model for Dividing Decimal Numbers

Divide 225.5 by 5 using area model

So instead of dividing 225.5 by 5, we will divide 2255 by 5.

Step 2: Now, let’s break them into easily divisible numbers, which are: 2000, 200, 50, and 5.

Step 3: Now, let’s divide each by 5:

Step 4: Now, let’s add them together: $400 + 40 + 10 + 1$, giving us 451.

2. It is a good way to help students remember how subtraction or “take away” works.

1. Divide 728 by 14 using the area model.

Solution : Let’s start by breaking down 728 into 700 and 28.

Dividing 700 by 14 gives us 50, and 28 divided by 14 is 2.

Now, let’s add these two to get the quotient $(50 + 2)$, which gives us 52.

2. Divide 624 by 3 using the area model of division.

Solution : Let’s start by breaking down 624, which gives us 600 and 24.

600 divided by 3 gives us 200, and 24 divided by 3 gives us 8.

On adding the two, we get 208.

3. Divide 3213 by 4 using the area model of division.

Solution : Let’s start by breaking down 3214, which gives us 3200 and 14.

3200 divided by 4 gives us 800,

14 divided by 4 gives us 3, with a remainder of 2.

So, the final answer is 803, with a remainder of 2.

4. What is the quotient when you divide 4977 by 7 using area model?

Solution : First, let’s break down 4977 into 4900 and 77.

Dividing 4900 by 7, we get 700,

and 77 divided by 7 gives us 11

Adding these numbers $(700 + 11)$ gives us 711

Attend this quiz & Test your knowledge.

## What is the quotient when you divide 345 by 5 using the area model?

## What is the answer when you divide 246 by 4 using the area model?

## What is the quotient when you divide 29.7 by 3 using the area model?

## What is the quotient when you divide 69.20 by 4 using the area model?

Can area model division be used for fractions?

Yes, you can efficiently use area model division to divide fractions.

Can the area model be used for multiplication?

What is the purpose of the area model division?

Area model division helps students visualize and make longer division problems easier to solve.

Why is the area model for division important?

## RELATED POSTS

- Area in Math – Definition, Figures, Examples
- Seconds to Minutes Conversion
- Bar Graph – Definition with Examples
- Decimal Point – Definition With Examples
- Divisor – Definition with Examples

You can pick. No account needed.

You have remaining on your free trial.

Get unlimited access to all videos and lesson plans with a membership.

Become a member to get full access to our entire library of learning videos, quiz games, & more.

Access All Videos and Lessons, No Limits .

No credit card required, takes 7 sec to signup .

Ready-to-go lessons that save you time.

Sometimes a simple refresh solves this issue. If you need further help, contact us .

## Division Using an Area Model

- Show lesson plan & teacher guide
- Show answers to discussion questions
- Show video only
- Allow visiting of other pages
- Hide assessments
- We'll learn how to do division with an area model.
- We'll also see that this strategy can help us divide 2, 3 and 4 digit numbers more efficiently!
- And we'll see that division using an area model can help us count fossils, plan a pizza party, and help our community.

## Discussion Questions

To separate into equal groups; to share in a fair way, so everybody gets the same amount.

There are 30 French fries. Since I have 4 friends with me, each of us gets 6 fries.

Since 12×5=60, that means 12×50=600.

To find the answers to multiplication problems; to find the area of a rectangle.

Start with the first place value. 300 ÷ 5 = 60. Then divide 20 ÷ 5 = 4, so the answer is 60+4=64.

The process of partitioning into equal groups.

The number the dividend is being divided by.

Repeated addition of equal groups.

Write a number as a sum of the value of each digit. 234 in expanded form is 200 + 30 + 4

A rectangle divided into sections to organize your calculations.

## Reading Material

To better understand division using an area model…

## LET’S BREAK IT DOWN!

## Planning a Pizza Party

## Filling Egg Cartons

## Practice Word Problems

Practice number problems, teacher resources, lesson plan.

## Teacher Guide

## Select a Google Form

## Exit Ticket

Choose a way to play this quiz game, kahoot - best for in class.

## Start a Free Trial Today. Get a $5 Amazon Gift Card!

Teachers! Start a free trial & we'll send your gift card within 1 day. Only cards left. Try it now.

Use an area model to divide 75 by 15.

Use an area model to divide 387 by 12.

3 days to access to all of our teaching resources for free.

Get 30 days free by inviting other teachers to try it too.

Enjoy 3 days of full access to all of our teaching resources for free.

Skip, I will use a 3 day free trial

- Unlimited access to our full library of videos & lessons for grades K-5.
- You won’t be billed unless you keep your account open past your 14 -day free trial.
- You can cancel anytime in 1 click on the manage account page or by emailing us.
- You won't be billed unless you keep your account open past 14 days.
- You can cancel anytime in 1-click on the manage account page.

Cancel anytime in 1-click on the manage account page before the trial ends and you won't be charged.

Otherwise you will pay just $10 CAD/month for the service as long as your account is open.

Cancel anytime on the manage account page in 1-click and you won't be charged.

Otherwise you will pay $10 CAD/month for the service as long as your account is open.

We just sent you a confirmation email. Enjoy!

## Are you sure you want to logout?

## Division with Area Model: Definition with Examples

First, we will have a look at what is the area model?

## What is the Area Model?

## Derivation of the Area Model

Area of a rectangle = length × breadth (l × b).

## Division with Area Model

Now, let us have a look at the merits of using the area model with division.

Merits of Using the Area Model (Rectangular Model) for Division

Here are some merits of division with the area model.

- The Area Model with division provides entry points for every student to start solving large division problems. For this, we should use this method in an open-ended way. It disregards their knowledge of multiplication.
- The students can easily correlate division to taking away from what we have. It is to create as many equal sections as possible. We use and represent sections or boxes for the area division model. (The rectangles can be assumed as symbols of an actual box or a rectangular object.)
- In this model, students can double-check their solutions. We use the same division form for this. But, we start with another number. It brings surety about accuracy.
- If the teacher encourages, students should try solving the division problem differently. It will help to enhance their understanding of the model. This will, in turn, enhance their performance. While solving examples, students can solve them differently. Only the way of finding the solution will be different. The method will remain the same.

Now, let us see how to solve division problems with the area model.

How to Solve Problems of Division With Area Model?

Here is an explanation for solving the area model with division.

The area of a rectangle or any shape is the amount of space.

12 × 8 is the area of a rectangle with a length of 12 units and a breadth of 8 units.

Similarly, we will now take a division problem.

Things will get more clear on solving practically.

So, the length of the rectangle is 25 + 10 + 3 units = 38 cm.

- We will start with the dividend, i.e., 4956.
- First, we will write the product of 4 × 1200. We will get 156 by subtracting 4800 from 4956.
- We will move 156 to the next box/rectangle. We will get 36 when we subtract 120 from 156.
- Then, we will write the product of 4 × 9, i.e., 32. Here, we will get the remainder as 0.

## Division Area Model With Remainder

This was how to solve area model divisions with remainders.

Here is another solved example.

Step 2: First, we will write the product of 4 × 1000. We will get 653 by subtracting 4000 from 4663.

So, we will get 1165+R3 by adding 1000 + 150 + 65 + remainder 3 to reach our final quotient.

Students can solve any division problem with this rectangle or Box model.

Hope this article proves to be helpful for you.

## Frequently Asked Questions

1. what is an example of division using the area model.

## IMAGES

## VIDEO

## COMMENTS

4th Grade GoMath 4.6 - Divide using the Area Model. Watch later. Share. Copy link. Info. Shopping. Tap to unmute.

With this division strategy, students divide by breaking the dividend into its expanded form. Then, students use familiar multiplication

In this video I explain the Area Model method of division. As high school math is my specialty, I should say I "attempt" to explain this

Sal uses area models to divide 268÷2 and 856÷8. Sort by: Top Voted. Questions ... if the question was 12 divided by 3 how can you make 12 my multiplication.

Benefits of Using Area Model Division ... 1. It makes it easier to divide fractions or decimal numbers by multiplying them instead of trying to use long division

You can use an area model to solve division problems by representing the number being divided as the area of a rectangle and the known factor as one of the side

Ans. To solve a division problem with an area model, first draw a number line. Then, divide the number line into equal parts, each representing

Divide large numbers with this handy trick! Learn how to use area models to solve 3-digit and 4-digit division problems in this fun, free lesson!

Visualize solutions to multi-digit division problems by modeling them with virtual manipulatives. This interactive exercise focuses on calculating quotients

Students develop an understanding of remainders. They use different methods to solve division problems. You can expect to see homework that asks your child to