# How to Use Area Models to Divide Two-Digit Numbers By One-digit Numbers

Area models can be a useful way to visualize division, especially when working with two-digit numbers divided by one-digit numbers.

## A Step-by-step Guide to Using Area Models to Divide Two-Digit Numbers by One-digit Numbers

Here’s a step-by-step guide to using area models for this purpose.

Let’s say we want to divide 72 by 9.

### Step 1: Draw a Rectangle to Represent the Dividend

The first step is to draw a rectangle. This rectangle will represent the total value you’re working with or the dividend. In this case, that’s 72.

**The Absolute Best Book for 4th Grade Students**

### Step 2: Label the Rectangle

Label the rectangle with the total value (72). This helps to visualize that the entire rectangle is equal to the dividend.

### Step 3: Determine the Divisor and Start to Partition the Rectangle

The divisor is the number you’re dividing by. In this case, it’s 9. Start to partition (divide) your rectangle into parts that represent the divisor. For instance, since our divisor is 9, we could try partitioning our rectangle into parts of 9.

**A Perfect Book for Grade 4 Math Word Problems!**

### Step 4: Continue Partitioning the Rectangle Until You’ve Reached the Total Value

Continue partitioning your rectangle into groups of 9 until you’ve reached the total value of 72. You should end up with 8 equal sections, each representing a value of 9.

### Step 5: Count the Number of Sections

The number of sections you have is your answer or quotient. Count up all the sections you have – in this case, you should have 8 sections. So, 72 divided by 9 equals 8.

This is a simplified method and works best when the dividend is a multiple of the divisor. If the dividend isn’t a multiple of the divisor, you’ll end up with a remainder, which can be represented as an additional, smaller section of the rectangle.

**The Best Math Books for Elementary Students**

## Related to This Article

### More math articles

- Overview of the HiSET Mathematics Test
- Algebra Puzzle – Challenge 53
- How to Solve Word Problems of Dividing Big Numbers
- Discover the Solutions: “ASTB Math for Beginners” Complete Solution Manual
- How to Measure Angles with a Protractor
- Pattern Play: How to Analyzing and Comparing Mathematical Patterns
- Math Topics You Need to Learn in Medicine
- How to Solve One-Step Inequalities? (+FREE Worksheet!)
- How to Use Area Models and the Distributive Property to Multiply?
- Top 10 Math Books for Grade 7 Students: A Complete Review

## What people say about "How to Use Area Models to Divide Two-Digit Numbers By One-digit Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.