Division: sharing, grouping and remainders · Usually met around P2
Division with remainders
Find the biggest multiple that fits.
How to do it
Method
Find the biggest multiple that fits
38 ÷ 5: 5 × 7 = 35, 38 − 35 = 3
Another way
Written division
38 ÷ 5 = 7 … 3
In full
Find the biggest multiple that doesn't go past the number. 38 ÷ 5: the closest multiple of 5 below 38 is 35, so 5 goes in 7 times, remainder 3. Written division also finds the quotient and the remainder. These questions ask only for the remainder.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
48 ÷ 7 → rem ?
Show the answer and working
Answer: 48 ÷ 7 → rem 6
48 ÷ 7: the largest multiple of 7 not past 48 is 7 × 6 = 42, 48 − 42 = 6, so the remainder is 6
Example 2
25 ÷ 3 → rem ?
Show the answer and working
Answer: 25 ÷ 3 → rem 1
25 ÷ 3: the largest multiple of 3 not past 25 is 3 × 8 = 24, 25 − 24 = 1, so the remainder is 1
Example 3
17 ÷ 6 → rem ?
Show the answer and working
Answer: 17 ÷ 6 → rem 5
17 ÷ 6: the largest multiple of 6 not past 17 is 6 × 2 = 12, 17 − 12 = 5, so the remainder is 5
Practise it in the game →Division: sharing, grouping and remainders · Free to start, unlimited questions, no download