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Division calculator

Enter the dividend and the divisor and see the answer as a decimal, and for whole numbers also with remainder, as a simplified fraction and as a mixed number.

Decimals may use a point or a comma. A sum works too, such as 2^10 or sqrt(2).

Fill in the fields; the answer appears here straight away.

How it works

  1. Enter the values

    Type the numbers or the formula. Decimals may use a point or a comma. No idea? Click Fill in an example.

  2. Instant answer

    The answer appears as you type, with the most important intermediate values.

  3. See the working

    Under "How it's worked out" you see the steps, handy for checking your own calculation.

Remainder, fraction or decimal?

Take 22 ÷ 7:

  • With remainder: 7 goes into 22 three times (3 × 7 = 21), with 1 left over: 3 remainder 1.
  • As a fraction: 22/7, or as a mixed number 3 1/7.
  • As a decimal: about 3.142857. The digits repeat forever, so the answer is rounded.

When the division comes out exactly, such as 1 ÷ 8 = 0.125, you get the exact value without rounding.

Dividing by zero

Dividing by 0 is not possible: no number times 0 gives 22. The calculator tells you so instead of showing "infinity". Dividing fractions? Use divide fractions.

Long division in steps

Take 1,000 ÷ 7. Seven fits 142 times in 1,000, because 142 × 7 = 994. That leaves 6, so the answer is 142 remainder 6, or 142 6/7 as a mixed number, or about 142.857143 as a decimal. The calculator shows these steps for whole numbers.

Repeating decimals

1 ÷ 3 is 0.333… and 1 ÷ 7 is 0.142857142857… forever. A fraction in lowest terms ends in a finite decimal only when its denominator has no prime factors other than 2 and 5, as in 1/8 = 0.125 and 3/20 = 0.15. In every other case the digits repeat, and the answer shows a rounded value.

Remainders in practice

Packing 100 items into boxes of 12 gives 8 boxes with 4 left over, so you need 9 boxes. The remainder tells you what doesn't fit and the quotient how often it does. For common factors, see the GCD calculator; to divide with fractions, use divide fractions.

Frequently asked questions

What is a remainder?

What is left over when the divisor doesn't fit a whole number of times. 22 ÷ 7 is 3 remainder 1, because 3 × 7 = 21 and 22 − 21 = 1.

Can I divide decimals?

Yes, but then you get the decimal answer only, without a remainder or fraction. Remainders are shown for whole numbers.

What happens when I divide a negative number?

The quotient is rounded towards zero, so −7 ÷ 2 gives −3 remainder −1, and the sign of the remainder follows the dividend.

Why can't I divide by zero?

No number multiplied by 0 gives anything but 0, so there is no answer. The calculator says so instead of showing infinity.