Divide two whole numbers and see the quotient, remainder, reduced mixed fraction, decimal result, and the repeated divide-multiply-subtract steps.
Examples
100 divided by 7
The quotient is 14 with remainder 2. The same result is 14 2/7 or
approximately 14.285714285714.
Formula
Integer division satisfies dividend = divisor × quotient + remainder. Each
long-division step chooses a quotient digit, multiplies it by the divisor,
subtracts, and brings down the next digit.
Read the long-division steps
For 100 ÷ 7, start with 10 because 7 does not fit into the first digit, 1.
Put 1 in the quotient, subtract 10 − 7 = 3, and bring down the final zero.
Now divide 30 by 7: the next quotient digit is 4 because 4 × 7 = 28.
Subtract to get a remainder of 2. Check the whole answer with
7 × 14 + 2 = 100; the remainder is smaller than 7.
To continue by hand as a decimal, add a decimal point and bring down a zero
after the remainder. 20 ÷ 7 gives 2 with remainder 6; bringing down another
zero gives 60 ÷ 7, or 8 with remainder 4. This is why the decimal starts
14.28. The calculator’s steps table shows the integer division, while its
decimal result summarizes the expansion.
Practice: do not lose a zero in the quotient
Try 1,005 ÷ 5 before entering it. After 10 ÷ 5 = 2, the next digit
brought down is 0. Write a 0 in the quotient, then bring down the final 5.
The answer is 201, not 21. Check: 5 × 201 = 1,005.
For 103 ÷ 8, the answer is 12 remainder 7, or 12 7/8.
Check: 8 × 12 + 7 = 103. Use the
Fraction Calculator when you want to
continue calculating with that exact mixed fraction instead of a rounded decimal.
Domain and rounding limits
The quotient and remainder form is exact for the entered integers. A decimal expansion can terminate or repeat; any displayed finite decimal is rounded to the available precision. Division by zero is undefined, and the sign convention for quotient and remainder should be checked when comparing results from different software.