Equal Sharing
Equal sharing is the most natural way a young child meets division: you have a pile of things and a known number of people, and you deal them out fairly until the pile is gone. The number sentence is Total divided by Number of groups equals Size of each group. Share 12 apples among 4 children and each child gets 3, because 12 divided by 4 is 3. The classroom way to show this is to draw four circles for the four children and place apples into them one at a time, going round and round, until each circle holds the same amount -- here, three each. What makes sharing click for children is seeing that it undoes multiplication: 12 divided by 4 equals 3 is just the other side of 4 times 3 equals 12, so a child who knows their tables can check a sharing answer instantly. The common errors CTET likes to test are mixing up the total with the number of groups, and assuming sharing must always come out even, so the idea of a leftover is best introduced separately once the equal idea is secure.
✅ Solved examples
✏️ Practice — try these, take hints as needed
📝 Topic test — 8 questions
Auto-graded with full solutions; saved to your dashboard. Use the calculator and formula sheet (top-right) any time.
Key Concepts — Quick Reference
Division relationships
| The four terms | Dividend / Divisor = Quotient, with Remainder left over |
|---|---|
| Fundamental relation | Dividend = (Divisor x Quotient) + Remainder |
| Remainder rule | Remainder is ALWAYS less than the Divisor |
| Inverse of multiplication | If a x b = c, then c / a = b and c / b = a |
Sharing vs grouping (same sentence, two meanings)
| Sharing | Total / Number of groups = Size of each group ("how many each?") |
|---|---|
| Grouping | Total / Size of each group = Number of groups ("how many groups?") |
| Repeated subtraction | Grouping = subtract the group size until you hit 0; the count of subtractions is the quotient |