Mathematics · Grades 3–5
Find the remainder
The remainder is at least zero and smaller than the positive divisor.
The key idea
The remainder is at least zero and smaller than the positive divisor.
dividend = divisor × quotient + remainder
Worked examples
What is the remainder when 78 is divided by 4?
78 = 4 × 19 + 2
2
What is the remainder when 142 is divided by 9?
142 = 9 × 15 + 7
7
Try it yourself
What is the remainder when 321 is divided by 12?
What is the remainder when 218 is divided by 12?
Check your understanding
Answers and marking notes
- 9
321 = 12 × 26 + 9
- 2
218 = 12 × 18 + 2
Further reading and review references
These are reference links, not copied exercises, institutional endorsement or proof of independent review.
Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.