Estimating
Word Problems with Remainders
Estimation and Partial Products
Division
Division
100

Estimate the quotient:

1,512 ÷ 5 = 

about 300

100

Sarah is planting tomatoes. She can put a maximum of 6 tomato plants in each row. How many rows will she need to plant 60 tomato plants?

She will need 10 rows. 

100

Use partial quotients to find 85 ÷ 5. 

The partial quotients are 10 and 7. The quotient is 17. 

100

49 ÷ 8 = 

6 R1

100

27 ÷ 6 = 

4 R 3 

200

Estimate the quotient:

2,467 ÷ 5 = 

about 500

200

Jake is putting 51 bananas in bags. Each bag holds 7 apples. How many FULL bags of apples will there be? How many apples will NOT be in a bag?

7 full bags of bananas

2 bananas will not be in a bag. 

200

Use partial quotients to find 96÷6. 

The partial quotients are 10 and 6. The quotient is 16. 

200

57 ÷ 9 = 

6 R 3

200

63 ÷ 6 = 

10 R 3

300

Estimate the quotient:

3,021 ÷ 3 = 

about 1,000

300

The 4th grade class is going on a field trip. There are 94 students total in the class. Each bus holds 20 students. How many buses will they need to transport the students?

They will need 5 buses. 

300

How many 5s are in 1,000?

200

300

99 ÷ 3 = 

33

300

834 ÷ 6 = 

139 

400

Estimate the quotient:

4,220 ÷ 6 = 

about 700

400

Abby is making cookies for her friends. There are 12 cookies in each batch. She makes 3 batches. She has 32 friends total. If she gives each friend the same number of cookies, how many will each friend get? How many will be leftover?

Each friend gets 3 cookies. 

There will be 4 cookies left. 

400

How many 5s are in 478? Include remainders in your answer! 

95 with a remainder of 3. 

400

111 ÷ 10 = 

 11 R 1

400

2,417 ÷ 8 = 

302 R 1

500

Estimate the quotient:

12,302 ÷ 3 = 

about 4,000

500

Sam's mom asks him to arrange the towels in stacks of 8. If Sam has 66 towels total, how many stacks will he have? How many towels will be leftover? 

He will have 8 stacks. 

He will have 2 towels leftover. 

500

How many 5s are in 737? Use partial products. Your answer should have TWO parts, plus a remainder. 

There are 140 5s in 700. 

There are 7 5s in 37.

There is a remainder of 2. 

500

238 ÷ 9 = 

26 R 4

500

4,914 ÷ 7 = 

702

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