Grade 4 · Math

Divide and explain the remainder

Find a whole-number quotient and remainder and verify both.

8 authored questions + worked example

Worked example

What is 29 ÷ 4, written with a remainder?

Answer & why

Answer: 7 remainder 1

4 × 7 + 1 = 29. The remainder 1 is smaller than 4.

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All questions

All 8 authored questions for this skill.

Question 1

What is 256 ÷ 6, written with a remainder?

  1. 41 remainder 4
  2. 42 remainder 5
  3. 42 remainder 4
  4. 43 remainder 4
A hint

Find the largest whole number of equal groups that fits. The amount left is the remainder.

Answer & why

Answer: 42 remainder 4

6 × 42 + 4 = 256. The remainder 4 is smaller than 6.

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Question 2

What is 1235 ÷ 4, written with a remainder?

  1. 307 remainder 3
  2. 308 remainder 4
  3. 309 remainder 3
  4. 308 remainder 3
A hint

Find the largest whole number of equal groups that fits. The amount left is the remainder.

Answer & why

Answer: 308 remainder 3

4 × 308 + 3 = 1235. The remainder 3 is smaller than 4.

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Question 3

What is 29 ÷ 4, written with a remainder?

  1. 7 remainder 2
  2. 6 remainder 1
  3. 8 remainder 1
  4. 7 remainder 1
A hint

Find the largest whole number of equal groups that fits. The amount left is the remainder.

Answer & why

Answer: 7 remainder 1

4 × 7 + 1 = 29. The remainder 1 is smaller than 4.

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Question 4

What is 43 ÷ 5, written with a remainder?

  1. 8 remainder 3
  2. 9 remainder 3
  3. 8 remainder 4
  4. 7 remainder 3
A hint

Find the largest whole number of equal groups that fits. The amount left is the remainder.

Answer & why

Answer: 8 remainder 3

5 × 8 + 3 = 43. The remainder 3 is smaller than 5.

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Question 5

What is 58 ÷ 6, written with a remainder?

  1. 8 remainder 4
  2. 9 remainder 4
  3. 10 remainder 4
  4. 9 remainder 5
A hint

Find the largest whole number of equal groups that fits. The amount left is the remainder.

Answer & why

Answer: 9 remainder 4

6 × 9 + 4 = 58. The remainder 4 is smaller than 6.

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Question 6

What is 75 ÷ 8, written with a remainder?

  1. 8 remainder 3
  2. 9 remainder 4
  3. 9 remainder 3
  4. 10 remainder 3
A hint

Find the largest whole number of equal groups that fits. The amount left is the remainder.

Answer & why

Answer: 9 remainder 3

8 × 9 + 3 = 75. The remainder 3 is smaller than 8.

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Question 7

What is 98 ÷ 7, written with a remainder?

  1. 13 remainder 0
  2. 15 remainder 0
  3. 14 remainder 0
  4. 14 remainder 1
A hint

Find the largest whole number of equal groups that fits. The amount left is the remainder.

Answer & why

Answer: 14 remainder 0

7 × 14 + 0 = 98. The remainder 0 is smaller than 7.

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Question 8

What is 137 ÷ 4, written with a remainder?

  1. 35 remainder 1
  2. 34 remainder 1
  3. 34 remainder 2
  4. 33 remainder 1
A hint

Find the largest whole number of equal groups that fits. The amount left is the remainder.

Answer & why

Answer: 34 remainder 1

4 × 34 + 1 = 137. The remainder 1 is smaller than 4.

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