Division with remainders (larger numbers)

When a number does not divide exactly, what is left over is the remainder.

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Method 1, chunks: take away a big easy multiple of 6 (like 6 × 100 or 6 × 10).
Keep taking chunks until less than 6 is left. Add up the lots of 6.
Method 2, long division: how many 6s fit? Write it on top, write what you used underneath, subtract, then bring down the next digit. Repeat.

Method 1: Take off chunks

Take away easy multiples of 6 from 157 until nothing (or less than 6) is left. Add up how many lots of 6 you took.

157 ÷ 6

157 − 120 (6 × 20) = 37

37 − 36 (6 × 6) = 1

Lots of 6: 20 + 6 = 26, with 1 left over

157 ÷ 6 = 26 r 1

Method 2: Long division

Write 157 inside the bus stop and 6 outside. Work from the left: divide, multiply, subtract, bring down the next digit.

157 ÷ 6

Divide, multiply, subtract, bring down. Repeat for each digit.

157 ÷ 6 = 26 r 1

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Watch out

The remainder is always smaller than the divisor.

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