# Division with Remainders using the Area Model

Examples, videos, and solutions to help Grade 4 students learn how to solve division problems with remainders using the area model.

Common Core Standards: 4.NBT.6, 4.OA.3

New York State Common Core Math Grade 4, Module 3, Lesson 21

NYS Math Module 3, Grade 4, Lesson 21 Problem Set
Problem 1: Solve 37 ÷ 2 using an area model. Use long division and distributive property to record your work.

Problem 2. Solve 76 ÷ 3 using an area model. Use long division and the distributive property to record your work.

1. Carolina solved the following division problem by drawing an area model.
a. What division problem did she solve?
b. Show how Carolina’s model can be represented using the distributive property.

NYS Math Module 3 Grade 4 Lesson 21 Problem Set
Problem 1 - Problem 3
Solve the following problems using the area model. Support the area model with long division or the distributive property.

1. 48 ÷ 3

Solve the following problems using the area model. Support the area model with long division or the distributive property.
5. 49 ÷ 3
6. 56 ÷ 4
7. 58 ÷ 4
8. 66 ÷ 5
9. 79 ÷ 3

10. Seventy-three students are divided into groups of 6 students each. How many groups of 6 students are there? How many students will not be in a group of 6?

NYS Math Module 3 Grade 4 Lesson 21 Homework

1. Solve 35 ÷ 2 using an area model. Use long division and the distributive property to record your work.
2. Solve 79 ÷ 3 using an area model. Use long division and the distributive property to record your work.
3. Paulina solved the following division problem by drawing an area model.
a. What division problem did she solve?
b. Show how Paulina’s model can be represented using the distributive property.

Solve the following problems using the area model. Support the area model with long division or the distributive property.
4. 42 ÷ 3
5. 43 ÷ 3
6. 52 ÷ 4
7. 54 ÷ 4
8. 61 ÷ 5
9. 73 ÷ 3
10. Ninety-seven lunch trays were placed equally in 4 stacks. How many lunch trays were in each stack? How many lunch trays will be leftover?

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