 # Two-Digit Divisors

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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 5
Common Core For Grade 5

Examples, solutions, and videos to help Grade 5 students learn how to divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method.

They also learn how to divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.

Common Core Standards: 5.NBT.6

New York State Common Core Math Module 2, Grade 5, Lesson 21 and Lesson 22

Download Worksheets for Grade 5, Module 2, Lesson 21 (Pdf)

Download Worksheets for Grade 5, Module 2, Lesson 22 (Pdf)

Lesson 21 Application Problem

105 students were divided equally into 15 teams.
a. How many players were on each team?
b. If each team had 3 girls, how many boys were there altogether?
Note: Although yesterday’s lesson focused only on two-digit totals, the friendly divisor of 15 makes this problem manageable for students. Students who have difficulty answering Part (a) may need extra support during the Concept Development.

Lesson 21 Concept Development

Problem 1: 256 ÷ 47
Problem 2: 236 ÷ 39
Problem 3: 369 ÷ 46
Problem 4: 712 ÷ 94

Lesson 22 Application Problem

Zenin’s baby sister weighed 132 ounces at birth. How much did his sister weigh in pounds and ounces?

Note: Depending on the class, you may or may not have to remind students that there are 16 ounces in a pound. Either way, it can be used as an opportunity to interpret the remainder(i.e., what does the remainder of 4 represent in this problem?).

Lesson 22 Concept Development

Problem 1: 590 ÷ 17
Problem 2: 887 ÷ 27
Problem 3: 839 ÷ 41

Halle solved 664 ÷ 48 below. She got a quotient of 13 with a remainder of 40. How could she use her work below to solve 659 ÷ 48 without redoing the work? Explain your thinking.

Lesson 21 Problem Set

1. Divide, then check using multiplication.
d. 759 ÷ 94

2. Generate and solve at least one more division problem with the same quotient and remainder as the one below. Explain your thought process.

3. Assume that Mrs. Giang’' car travels 14 miles on each gallon of gas. If she travels to visit her niece who lives 133 miles away, how many gallons of gas will Mrs. Giang need to make the round trip?

4. Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftover pencils to his teacher.
a. How many pencils will Louis' teacher receive?
b. If Louis decides instead to take an equal share of the pencils along with his classmates, will his teacher receive more pencils or fewer pencils? Show your thinking. Lesson 21 Homework

This video demonstrates how to divide numbers with two-digit divisors. The method includes an estimate, a solution, and a check. Quotients contain remainders.

1. Divide, then check using multiplication.
b. 158 ÷ 37 This video demonstrates how to solve a complex word problem using tape diagrams, division, and multiplication.

2. It takes Juwan exactly 35 minutes by car to get to his grandmother’s. The nearest parking area is a 4-minute walk from her apartment. One week he visited more often. He realized that he spent 5 hours and 12 minutes traveling to her apartment and then back home. How many round trips did he make to visit his grandmother? Lesson 22 Problem Set
1. Divide, then check using multiplication.
c. 940 ÷ 28
d. 553 ÷ 23
f. 614 ÷ 15

3. 27 students are learning to make balloon animals. There are 172 balloons to be shared equally among the students.
a. How many balloons are left over after sharing them equally?
b. If each student needs 7 balloons, how many more balloons are needed? Explain how you know.

Lesson 22 Homework
This video shows how do divide numbers using a method of estimation to help arrive at a quotient.

1. Divide, then check using multiplication.
c. 700 ÷ 21
d. 399 ÷ 31 Lesson 22 Homework
1. Divide, then check using multiplication.
d. 399 ÷ 31
e. 820 ÷ 42

2. When dividing 2,458 by 51, a student finds a quotient of 48 with a remainder of 11. Check the student’s work, and use the check to find the error in their solution. When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the student’s work, and use the check to find the error in their solution.

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