Division With Remainders: How to Explain to Kids
Objects don't always split evenly. Understanding this fact and finding the remainder is a key step in learning division.
When a remainder appears
Split 17 candies among 5 children evenly — each gets 3 candies, with 2 candies left over. That leftover is the remainder: what could not be split evenly.
Explaining with objects
Dealing around in a circle
Deal 17 buttons one at a time into 5 boxes, going around. After the third round, each box holds 3 buttons, and 2 buttons remain — not enough for a fourth full round.
Writing division with a remainder
17 ÷ 5 = 3 remainder 2
Check: 5×3+2=17 — it checks out!
The algorithm for finding the remainder
Step by step
Take 23÷4. Find the nearest number divisible by 4 that does not exceed 23: that's 20 (4×5=20). Quotient: 5. Remainder: 23-20=3. Check: 4×5+3=23.
19÷3 = 6 remainder 1
26÷4 = 6 remainder 2
31÷6 = 5 remainder 1
15÷7 = 2 remainder 1
Word problems with remainders
A bus has 27 seats, 4 seats per row. How many full rows and how many seats in the leftover row? (6 full rows, 3 seats in the seventh)
25 apples are packed into bags of 6. How many bags are fully packed and how many apples remain? (4 bags, 1 apple)
➗ Division with remainders rests on the times table!
Our game brings the times table to automatic — the foundation for division with remainders.
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