Base-10 Patterns
Estimate the quotient
Word Problems
Word Problems
Long Division
100
  1. 4,500 ÷ 9 = ______

  2. 450 ÷ 90 = ______

  • 4,500 ÷ 9 = 500

  • 450 ÷ 90 = 5

100

478 ÷ 7 → ______ ÷ ______ = ______

478 ÷ 7 → 490 ÷ 7 = 70

100

Ms. Stout has 42 cookies to pack into boxes. She can put 7 cookies in each box. How many boxes does she need to pack all of the cookies?

42 ÷ 7 = 6

Ms. Stout needs 6 boxes.

100

There are 73 apples to put into baskets. Each basket can hold 9 apples. How many baskets will be full, and how many apples will be left over?

Answer: 73 ÷ 9 = 8 R1 → 8 full baskets, 1 apple left over

100

144 ÷ 8 = ______

18

200
  1. 3,600 ÷ 6 = ______

  2. 360 ÷ 60 = ______

  3. 36,000 ÷ 600 = ______


  • 3,600 ÷ 6 = 600

  • 360 ÷ 60 = 6

  • 36,000 ÷ 600 = 60

200

342 ÷ 5 → ______ ÷ ______ = ______

342 ÷ 5 → 350 ÷ 5 = 70

200

The 4th grade classes collected 842 pencils to share evenly among 7 classrooms. If each classroom gets about the same number of pencils, about how many pencils does each classroom receive?

842 pencils ÷ 7 classrooms
→ Round 842 to 840

840 ÷ 7 = 120

Each classroom gets about 120 pencils.

200

A school library has 433 books and 6 shelves. If the books are divided evenly, about how many books will go on each shelf?

Answer: 453 books ÷ 6 shelves
→ Round 433 to 420, 420 books ÷ 6 shelves= 70 books on each shelf

200

560 ÷ 40 = ______

14

300
  1. 3,500 ÷ 7 = ______

  2. 350 ÷ 70 = ______

  3. 3,500 ÷ 70 = ______

3,500 ÷ 7 = 500

350 ÷ 70 = 5

3,500 ÷ 70 = 50

300

1,873 ÷ 9 → ______ ÷ ______ = ______

1,873 ÷ 9 → 1,800 ÷ 9 = 200

300

Mr. Toren collected 1,243 trading cards and sorted them equally into 8 boxes. How many cards were left over that did not fit into a box?

1,243 ÷ 8 = 155 R 3

So, 3 cards did not fit into a box.

300

A farmer has 1,109 eggs and wants to pack them into cartons that hold 20 eggs each. How many cartons can he fill, and how many eggs will be left?

Answer: 1,109 ÷ 20 = 55 R9 → 55 cartons filled, 9 eggs left

300

987 ÷ 9 = ______

109 R6

400
  1. 63,000 ÷ 900 = ______

  2. 6,300 ÷ 9 = ______

  3. 630 ÷ 90 = ______

  1. 63,000 ÷ 900 = 70

  2. 6,300 ÷ 9 = 700

  3. 630 ÷ 90 = 7

400

5,267 ÷ 60 → ______ ÷ ______ = ______

5,267 ÷ 60 → 5,400 ÷ 60 = 90

400

For the school science fair, each student needs 3 stickers for their project display. There are 1,267 students participating. How many stickers does the school need to order?


1,267 students × 3 stickers each = 3,801 stickers

The school needs to order 3,801 stickers.

400

There are 2,348 students going on a field trip. Each bus can hold 50 students. How many buses will be needed, and how many students will not have a full bus?

Answer: 2,348 ÷ 50 = 46 R48 → 46 full buses, 48 students left for a partial bus

400

4,320 ÷ 80 = ______

54

500
  1. 24,000 ÷ 400 = ______

  2. 2,400 ÷ 40 = ______

  3. 240 ÷ 4 = ______

  4. 240 ÷ 40 = ______

  • 24,000 ÷ 400 = 60

  • 2,400 ÷ 40 = 60

  • 240 ÷ 4 = 60

  • 240 ÷ 40 = 6

500

9,144 ÷ 80 → ______ ÷ ______ = ______

9,144 ÷ 80 → 8,800 ÷ 80 = 110

500

A concert venue has 9,600 attendees who will be seated evenly in 80 rows. How many people will sit in each row?

9,600 ÷ 80 = 120

There will be 120 people in each row.

500

A stadium has 7,921 seats, and tickets are sold in groups of 40 for tour groups. How many full groups of 40 can attend, and how many seats will remain?

Answer: 7,921 ÷ 40 = 198 R1 → 198 full groups, 1 seats left

500

1,973 ÷90

Answer: 21 R83