Estimating Quotients
Word Problems
Division I
Division II
100

Estimate the quotient using a multiple of the divisor 

832 ÷ 9 

810 ÷ 9 = 90 

100

A teacher has 956 pencils to distribute equally among 6 classrooms. How many pencils will each classroom receive? How many pencils will be left over?

159 R 2

100

864 ÷ 4

216

100

547 ÷ 3 = 

182 R1

200

Estimate the quotient using a multiple of the divisor.

542 ÷ 8 = 

560 ÷ 8 = 70

200

A farmer collected 847 apples from his orchard. He wants to place the same number of apples into 5 baskets. How many apples will go into each basket? How many apples will be left over?

169 R 2

200

735 ÷ 6 = 

122 R 3 

200

1,248 ÷ 4 = 

312

300

Use multiples (pick a multiple lower and a multiple higher) to find the range of the quotient.

468 ÷ 7 

420 ÷ 7 = 60 

490 ÷ 7 = 70 

60-70 

300

A school ordered 624 books for its library. The librarian wants to place the same number of books on each of 8 shelves. How many books will go on each shelf?

78

300

928 ÷ 8 = 

116

300

3,672 ÷ 6 = 

612

400

Use multiples (pick a multiple lower and a multiple higher) to find the range of the quotient.

349 ÷ 9 = 

270 ÷ 9 = 30 

360 ÷ 9 = 40 

30 - 40 

400

A bakery made 735 cookies for a school event. The baker wants to package the cookies equally into 9 boxes. How many cookies will go in each box? How many cookies will be left over?

81 R 6

400

2,563 ÷ 5 = 

512 R3

400

4,815 ÷ 7 = 

687 R6

500

Estimate the quotient using a multiple of the divisor.

2,321 ÷ 7 = 

2,100 ÷ 7 = 300

500

A stadium has 1,248 tickets to distribute equally among 4 ticket booths. How many tickets should each booth receive?

312

500

5,436 ÷ 9 = 

604

500

6,847 ÷ 8 =

855 R7

M
e
n
u