How division works
Ages 8 to 101Share it out
Share the things one by one until they are gone. How many on each plate?
12 ÷ 3 = 4
2Make groups
How many groups of 4 can you make from 12? Circle them and count the groups.
12 ÷ 4 = 3
3Think times tables
Division is multiplication backwards: 6 times what makes 24?
24 ÷ 6 = 4, because 6 × 4 = 24
4Jump back
Take away the same number again and again until you reach 0. Count the jumps.
15 ÷ 5 = 3 jumps
5Remainders
Make as many full groups as you can. What is left over is the remainder.
14 ÷ 4 = 3 r 2
6Long division
Repeat 4 steps for each digit: divide, multiply, subtract, bring down the next digit.
84 ÷ 3 = 28
💡 Memory tip: Check a division with a multiplication: 28 × 3 = 84, so 84 ÷ 3 = 28 is right.
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Practise it
Print the sheet for the fridge or the homework folder, and look at one idea a day. Kids learn a strategy best when they say it out loud while they use it: "8 and 2 make 10, and 3 more is 13."
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Questions parents and teachers ask
How do you explain division to a child?
Share real things: 12 cookies on 3 plates, one at a time. Then group them: how many bags of 4 can we fill? Both are division. Once times tables are known, "think multiplication" is the fastest way.
What does DMSB mean in long division?
DMSB stands for the steps Divide, Multiply, Subtract, Bring down, repeated for each digit. Kids remember the order with "Does McDonald’s Sell Burgers?" or "Dad, Mom, Sister, Brother".
Planning more than homework?
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