What does quotient mean in division?

The quotient is the result of a division. In 35 ÷ 5 = 7, the quotient is 7. The number being shared, 35, is called the dividend, and the number you divide by, 5, is the divisor. When the sharing does not come out even, the quotient gets a decimal part, as in 7 ÷ 2 = 3.5.

How do you do long division?

Long division works from the left, one digit at a time. For 756 ÷ 6, start with the 7: 6 goes into it once, with 1 left over. Bring down the 5 to make 15, and 6 goes in twice, with 3 left. Bring down the 6 to make 36, which is exactly six 6s. The digits you found, 1, 2 and 6, give the answer: 126.

At what age do kids learn division?

In many school systems, children first meet division as fair sharing at about age 6 or 7. They learn division facts next to the times tables at about 8, then divide larger numbers, long division included, between about 9 and 11. The levels here are aimed at ages 8 to 10, and the last one asks for answers with a decimal point.

Why does my child find division hard?

Division feels hard when the times tables are not secure yet, because every division leans on one of them. A child who has to count up to find 7 × 8 will also be slow on 56 ÷ 7. Order trips children up too: 4 × 5 equals 5 × 4, but 20 ÷ 5 is 4 while 5 ÷ 20 is only a quarter. Firm up the tables, and division follows.

Is division practice here free, and does it work for a whole class?

Yes, every division level, decimals included, runs free in any web browser, with nothing to install and no account to create. As a warm-up, write 72 on the board and ask pupils for every number from 2 to 9 that shares it evenly, with the quotient each time. Then each pupil fights at their own level on a tablet. On the schools plan, charged per student, a teacher dashboard shows who is improving.

Math practice · reimagined

Division Game

This division fighting game opens with problems like 63 ÷ 9 and ends with numbers that do not share evenly, so 47 ÷ 2 gives 23.5. Beat your rival to each answer and your fighter strikes; split faster and the blow lands harder.

Ages 4–99+ · no download · plays in your browser · 23 languages

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What is division?

Division finds the size of each equal share, or how many equal shares fit into a number. Its sign is ÷, read “divided by”. Share 20 marbles equally between 4 bags and each bag holds 5, so 20 ÷ 4 = 5. Ask instead how many bags of 5 you can fill, and the answer is 4.

Every level of Division

Example: 574 ÷ 7, split into two easy parts

Find a big piece of 574 that 7 divides cleanly: 7 × 80 = 560, so start with 560.
That piece gives 560 ÷ 7 = 80, and 574 − 560 leaves 14 still to share.
The rest is quick, because 14 ÷ 7 = 2.
Add the two answers, 80 + 2 = 82, so you type 82.

Learn it step by step

Dividing means sharing a number into equal groups — and it's just multiplication walking backwards.

12 ÷ 3 asks "how many groups of 3 fit into 12?" Picture 12 cookies shared between 3 friends: each gets 4. So 12 ÷ 3 = 4. If you know 3 × 4 = 12, you already know this.

These all come out even — no leftovers. Type how many each group gets.

Tips and common mistakes

To divide by 4, halve twice: half of 96 is 48, and half of 48 is 24, so 96 ÷ 4 = 24. To divide by 8, halve three times.
A common slip is losing a zero. In 816 ÷ 8, the tens digit 1 is smaller than 8, so the answer gets a 0 there: 102, not 12.
Pour 30 dry beans on the table and share them equally between 2, 3, 5 and then 6 cups. Say each division aloud, such as 30 ÷ 5 = 6.

How to play

A division such as 40 ÷ 8 flashes up for both fighters, and you type the answer on the keypad. Get it in first and Broccoli strikes, with more damage the less time you take. On the last level the numbers stop sharing evenly, so you tap the decimal point to answer 123 ÷ 5 with 24.6.

— Quick answers —

Division: the short FAQ

What does quotient mean in division?: The quotient is the result of a division. In 35 ÷ 5 = 7, the quotient is 7. The number being shared, 35, is called the dividend, and the number you divide by, 5, is the divisor. When the sharing does not come out even, the quotient gets a decimal part, as in 7 ÷ 2 = 3.5.
How do you do long division?: Long division works from the left, one digit at a time. For 756 ÷ 6, start with the 7: 6 goes into it once, with 1 left over. Bring down the 5 to make 15, and 6 goes in twice, with 3 left. Bring down the 6 to make 36, which is exactly six 6s. The digits you found, 1, 2 and 6, give the answer: 126.
At what age do kids learn division?: In many school systems, children first meet division as fair sharing at about age 6 or 7. They learn division facts next to the times tables at about 8, then divide larger numbers, long division included, between about 9 and 11. The levels here are aimed at ages 8 to 10, and the last one asks for answers with a decimal point.
Why does my child find division hard?: Division feels hard when the times tables are not secure yet, because every division leans on one of them. A child who has to count up to find 7 × 8 will also be slow on 56 ÷ 7. Order trips children up too: 4 × 5 equals 5 × 4, but 20 ÷ 5 is 4 while 5 ÷ 20 is only a quarter. Firm up the tables, and division follows.
Is division practice here free, and does it work for a whole class?: Yes, every division level, decimals included, runs free in any web browser, with nothing to install and no account to create. As a warm-up, write 72 on the board and ask pupils for every number from 2 to 9 that shares it evenly, with the quotient each time. Then each pupil fights at their own level on a tablet. On the schools plan, charged per student, a teacher dashboard shows who is improving.

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