Math: Long-Division Steps (DMSB) Practice Worksheet

Question 1

Solve 84 ÷ 3 using long division. Label the first DMSB cycle in your work.

Accepted Answer

84 ÷ 3 = 28. First, 3 goes into 8 two times, 2 × 3 = 6, 8 - 6 = 2, and then bring down 4. Then 3 goes into 24 eight times.

Question 2

Solve 96 ÷ 4 using long division. Write each step: divide, multiply, subtract, bring down.

Accepted Answer

96 ÷ 4 = 24. 4 goes into 9 two times, 2 × 4 = 8, 9 - 8 = 1, and bring down 6 to make 16. Then 4 goes into 16 four times.

Question 3

Solve 75 ÷ 5 using long division.

Accepted Answer

75 ÷ 5 = 15. 5 goes into 7 one time, 1 × 5 = 5, 7 - 5 = 2, and bring down 5 to make 25. Then 5 goes into 25 five times.

Question 4

Solve 128 ÷ 4 using long division.

Accepted Answer

128 ÷ 4 = 32. 4 does not go into 1, so use 12. 4 goes into 12 three times, 3 × 4 = 12, 12 - 12 = 0, and bring down 8. Then 4 goes into 8 two times.

Question 5

Solve 156 ÷ 6 using long division.

Accepted Answer

156 ÷ 6 = 26. 6 goes into 15 two times, 2 × 6 = 12, 15 - 12 = 3, and bring down 6 to make 36. Then 6 goes into 36 six times.

Question 6

Solve 216 ÷ 3 using long division.

Accepted Answer

216 ÷ 3 = 72. 3 goes into 21 seven times, 7 × 3 = 21, 21 - 21 = 0, and bring down 6. Then 3 goes into 6 two times.

Question 7

Solve 245 ÷ 5 using long division.

Accepted Answer

245 ÷ 5 = 49. 5 goes into 24 four times, 4 × 5 = 20, 24 - 20 = 4, and bring down 5 to make 45. Then 5 goes into 45 nine times.

Question 8

Solve 432 ÷ 6 using long division.

Accepted Answer

432 ÷ 6 = 72. 6 goes into 43 seven times, 7 × 6 = 42, 43 - 42 = 1, and bring down 2 to make 12. Then 6 goes into 12 two times.

Question 9

Solve 512 ÷ 8 using long division.

Accepted Answer

512 ÷ 8 = 64. 8 goes into 51 six times, 6 × 8 = 48, 51 - 48 = 3, and bring down 2 to make 32. Then 8 goes into 32 four times.

Question 10

Solve 729 ÷ 9 using long division.

Accepted Answer

729 ÷ 9 = 81. 9 goes into 72 eight times, 8 × 9 = 72, 72 - 72 = 0, and bring down 9. Then 9 goes into 9 one time.

Question 11

A student solved 168 ÷ 4. They wrote: 4 goes into 16 four times, 4 × 4 = 16, 16 - 16 = 0, bring down 8, and 4 goes into 8 two times. What is the quotient?

Accepted Answer

The quotient is 42 because the student found 4 tens and 2 ones.

Question 12

A teacher has 315 pencils and puts them equally into 7 boxes. Use long division to find how many pencils go in each box.

Accepted Answer

Each box gets 45 pencils. 7 goes into 31 four times, 4 × 7 = 28, 31 - 28 = 3, and bring down 5 to make 35. Then 7 goes into 35 five times.

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Math: Long-Division Steps (DMSB) Practice

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