← SciSim/Math Playground/Division

Division Playground

Share things fairly, make equal groups and find what is left over. Play, solve missions, crack puzzles and beat the clock.

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12 ÷ 3 = ?

The idea, step by step

Start here. Division is fair sharing. You have 12 cookies and 3 plates. Give one cookie to each plate, again and again, until the cookies run out. Every plate has 4. We write 12 ÷ 3 = 4.

Another way to see it: groups. Instead of plates, ask "how many groups of 3 can I make from 12?" You can make 4 groups. The answer is the same: 12 ÷ 3 = 4.

Division and multiplication are partners. If 3 plates with 4 cookies each make 12, then 3 × 4 = 12. So 12 ÷ 3 = 4 because 3 × 4 = 12. When you divide, you are looking for the missing factor.

Left over. Try 14 cookies on 4 plates. Each plate gets 3 and 2 cookies are left over, because there are not enough for another full round. We write 14 ÷ 4 = 3 remainder 2, or 3 r 2. Check it: 4 × 3 + 2 = 14. The left-over number is always smaller than the number of plates.

Try this above. In Play, share 12 among 3 plates, then switch to Groups. Next, set 17 items and 5 plates and find the left-over. Last, try 20 items on 4 plates and look at the array.

Questions

What does 12 ÷ 3 mean?

It means share 12 equally into 3 parts, or find how many groups of 3 are in 12. The answer is 4.

What is a remainder?

A remainder is what is left over when you cannot share equally. In 14 ÷ 4 = 3 r 2, each of 4 plates gets 3 and 2 are left over.

How do I check a division answer?

Multiply the answer by the number you divided by, then add the remainder. For 14 ÷ 4 = 3 r 2, check 4 × 3 + 2 = 14.

Which level should I pick?

"Just starting" shares up to 20 among 2, 3, 4, 5 or 10 plates. "I know the basics" goes up to 100 and meets left-overs. "Challenge me" goes up to 144 ÷ 12 and uses two-digit numbers with remainders.

Do I need to sign up?

No. It is free and needs no account. Your stars are saved in your own browser.