Arrays
Remainders as Fractions
Standard Algorithm
Area Model
Distributive Property
100

19 ÷ 5 = _____

19 ÷ 5 = 3 R4

5 rows of 3 OR 3 rows of 5 

100

There are 103 apples. Each bag holds 5 apples. How many full bags can you make? How many apples are left?

103 ÷ 5 = 20 ⅗
 → 20 full bags, 3 apples remaining 

100

 35 ÷ 4

35 ÷ 4

Answer: 8 R3

100

123 ÷ 3

123 ÷ 3

Break 123 into 120 + 3:

  • 120 ÷ 3 = 40

  • 3 ÷ 3 = 1

  • 40 + 1 = 41

✅ Answer: 41


100

190 ÷ 3

  1. 190 ÷ 3
     (180 ÷ 3) + (10 ÷ 3)
     = 60 + 3 R1
     = 63 R1

200

56 ÷ 6 = _____

56 ÷ 6 = 9 R2

6 rows of 9 OR 9 rows of 6 

200

A teacher has 215 pencils and puts 5 pencils in each container. How many full containers can she make? How many pencils are left?

215 ÷ 5 = 43
 → 43 full containers, 0 remaining

200

106 ÷ 3

106 ÷ 3

Break 106 into 90 + 16:

  • 90 ÷ 3 = 30

  • 16 ÷ 3 = 5 R1

  • 30 + 5 = 35 R1

Answer: 35 R1

200

244 ÷ 4

244 ÷ 4

Break 244 into 240 + 4:

  • 240 ÷ 4 = 60

  • 4 ÷ 4 = 1

  • 60 + 1 = 61

  • ✅ Answer: 61


200

145 ÷ 5

  1. 145 ÷ 5
     (100 ÷ 5) + (45 ÷ 5)
     = 20 + 9
     = 29

300

43 ÷ 7 = _____

43 ÷ 7 = 6 R1

7 rows of 6 OR 6 rows of 7 

300

117 students are put into groups of 4. How many groups can be made? How many students are left?

117 ÷ 4 = 29 ¼
 → 29 full groups, 1 student remaining

300

276 ÷ 6

276 ÷ 6

Break 276 into 240 + 36:

  • 240 ÷ 6 = 40

  • 36 ÷ 6 = 6

  • 40 + 6 = 46

Answer: 46

300

369 ÷ 6

369 ÷ 6

Break 369 into 360 + 9:

  • 360 ÷ 6 = 60

  • 9 ÷ 6 = 1 R3

  • 60 + 1 = 61 R3

  • ✅ Answer: 61 R3

300

427 ÷ 7

  1. 427 ÷ 7
     (420 ÷ 7) + (7 ÷ 7)
     = 60 + 1
     = 61

400

80  ÷ 5 =___________

80  ÷ 5 = 16

5 rows of 16 OR 16 rows of 5 

400

There are 388 students going on a field trip. Each van holds 8 students. How many vans are needed?

 → 48 full vans, 4 students remaining OR Since you need to take everyone, the answer is 49 vans

400

437 ÷ 7

437 ÷ 7

Break 437 into 420 + 17:

  • 420 ÷ 7 = 60

  • 17 ÷ 7 = 2 R3

  • 60 + 2 = 62 R3

Answer: 62 R3

400

2478 ÷ 6

2478 ÷ 6

Break 2478 into 2,400 + 78:

  • 2,400 ÷ 6 = 400

  • 78 ÷ 6 = 13

  • 400 + 13 = 413

✅ Answer: 413

400

642 ÷ 9

642 ÷ 9
 (630 ÷ 9) + (12 ÷ 9)
 = 70 + 1 R3
 = 71 R3

500

90  ÷ 8 = ____________

90  ÷ 8 = 11 R2 

8 rows of 11 or 11 rows of 8

500

A baker has 476 cupcakes. Each box holds 6 cupcakes. How many boxes are needed to hold all the cupcakes?

476 ÷ 6 = 79 ⅓
 → 79 full boxes, 2 cupcakes remaining OR Since all cupcakes need a box, the answer is 80 boxes

500

 1390 ÷ 5

Break 1390 into 1,000 + 300 + 90:

  • 1,000 ÷ 5 = 200

  • 300 ÷ 5 = 60

  • 90 ÷ 5 = 18

  • 200 + 60 + 18 = 278

Answer: 278

500

1722 ÷ 8

1722 ÷ 8

Break 1722 into 1,600 + 122:

  • 1,600 ÷ 8 = 200

  • 122 ÷ 8 = 15 R2

  • 200 + 15 = 215 R2

✅ Answer: 215 R2

500

593 ÷ 3

  1. 593 ÷ 3
     (570 ÷ 3) + (23 ÷ 3)
     = 190 + 7 R2
     = 197 R2

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