Practice Written division

Long division repeatedly divides, multiplies and subtracts to find a quotient and possibly a remainder.

It helps you share quantities and calculate rates.

Exercises with solutions

Work from left to right and check how often the divisor fits into the start of the number. Write that digit after the equals sign and multiply back. Subtract and bring down the next digit.

Exercise 1

Calculate 84 ÷ 4.

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21

8 ÷ 4 = 2, then 4 ÷ 4 = 1. Check: 21 · 4 = 84.

Exercise 2

Calculate 96 ÷ 6.

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16

9 ÷ 6 = 1 remainder 3. Bring down the 6: 36 ÷ 6 = 6. Check: 16 · 6 = 96.

Exercise 3

Calculate 525 ÷ 5.

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105

5 ÷ 5 = 1. The next digit is 2 and 2 ÷ 5 does not work, so you write a 0 in the result. Bring down the 5: 25 ÷ 5 = 5. Check: 105 · 5 = 525.

Exercise 4

Calculate 742 ÷ 6. What is the remainder?

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123 remainder 4

7 ÷ 6 = 1 remainder 1. Bring down 4: 14 ÷ 6 = 2 remainder 2. Bring down 2: 22 ÷ 6 = 3 remainder 4. Check: 123 · 6 + 4 = 742.

Common mistake

Forgetting a 0 in the result where the divisor does not fit. In 525 ÷ 5 the 0 belongs between the 1 and the 5. At the end the remainder must be smaller than the divisor.

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Area: Numbers and arithmeticFrom grade 5 · Grades follow the North Rhine-Westphalia curriculum; other German states may introduce topics at different times.
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