Division is about splitting a number into equal groups — sharing fairly. If 12 sweets are shared between 4 friends, division tells you how many each one gets. It is the opposite of multiplication, and once you see that link, division becomes much less scary.
Two ways to think about dividing
The division sign ÷ means 'shared into equal groups'. There are two ways to picture 12 ÷ 4. Sharing: put 12 things into 4 equal groups and see how many are in each group. Grouping: see how many groups of 4 you can make from 12. Both give the same answer: 3.
The array below shows 12 dots arranged as 4 rows of 3 — so 12 shared into 4 equal groups gives 3 in each group.
12 shared into 4 equal groups gives 3 in each: 12 ÷ 4 = 3.
Division undoes multiplication
Division and multiplication are opposites. Because 4 × 3 = 12, we know 12 ÷ 4 = 3 and 12 ÷ 3 = 4. So if you know your times tables, you already know your division facts — just read them backwards.
This is the fastest way to divide: ask 'what number times the one I'm dividing by gives this total?' For 20 ÷ 5, ask '5 times what is 20?' — the answer is 4.
Worked example
Work out 20 ÷ 5.
Division undoes multiplication, so ask: 5 times what makes 20?
5 × 4 = 20.
So 20 ÷ 5 must be 4.
Answer: 20 ÷ 5 = 4
When it doesn't divide evenly
Sometimes a number doesn't split into equal groups exactly, and there is a bit left over — called the remainder. Sharing 13 sweets between 4 friends gives each 3 sweets, with 1 left over: 13 ÷ 4 = 3 remainder 1.
Remainders are normal and useful — they tell you what's left when equal sharing can't use everything. Later you'll learn to write leftovers as fractions or decimals, but the idea of 'how many each, and what's left' starts here.
Check yourself
Try these. Pick an answer to see whether it's right and why.
What does 12 ÷ 4 mean?
The ÷ sign means shared into equal groups: 12 ÷ 4 puts 12 into 4 equal groups, giving 3 each.
Division is the opposite of which operation?
Division undoes multiplication: because 4 × 3 = 12, we know 12 ÷ 4 = 3.
If 5 × 4 = 20, what is 20 ÷ 5?
Read the multiplication fact backwards: 5 × 4 = 20, so 20 ÷ 5 = 4.
What is 15 ÷ 3?
Ask '3 times what makes 15?' — 3 × 5 = 15, so 15 ÷ 3 = 5.
Share 13 things between 4 groups. What is left over?
Each group gets 3 (that's 12), leaving 1 left over: 13 ÷ 4 = 3 remainder 1.
In a nutshell
Division (÷) means sharing into equal groups; think of it as sharing or as making groups.
Division is the opposite of multiplication, so times-table facts give you division facts backwards.
To divide, ask 'what times the divisor makes this total?'
When it doesn't split evenly there is a remainder — the amount left over.
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