Division & Remainders

Division asks how many equal groups you can make, or how much each share gets. It is the inverse of multiplication: because $6 \times 7 = 42$, we know $42 \div 6 = 7$.

Numbers do not always share out evenly. For $27 \div 4$, the closest multiple of $4$ that fits is $24$ ($= 4 \times 6$), leaving $3$ over. We write $27 \div 4 = 6$ remainder $3$.

Worked example. Share $30$ sweets equally among $4$ children.

How many fours fit into $30$? $4 \times 7 = 28$, and $4 \times 8 = 32$ is too big. So each child gets $7$ sweets, with $30 - 28 = 2$ left over: $30 \div 4 = 7$ remainder $2$.