See every step of long division — quotient and remainder explained
Input
Try an example
Result
Step-by-step breakdown
| Step | Current value | Quotient digit | 7 × | Remainder |
|---|---|---|---|---|
| 1 | 8 | 1 | 7 × 1 = 7 | 1 |
| 2 | 14 | 2 | 7 × 2 = 14 | 0 |
| 3 | 5 | 0 | 7 × 0 = 0 | 5 |
Written explanation
How Long Division Works
Long division breaks a large division problem into a sequence of smaller steps. For each digit of the dividend you find how many times the divisor fits, multiply back, subtract, and bring down the next digit — repeating until all digits are used. Whatever is left at the end is the remainder.
The Long Division Calculator shows you every step of the long division process in plain language. Enter any two whole numbers and instantly see how many times the divisor fits into each portion of the dividend, the subtraction at each stage, and the final quotient with remainder. Great for checking homework, teaching the method, or brushing up on arithmetic fundamentals.
The remainder is what is left over after the divisor no longer fits into the dividend evenly. For example, 845 ÷ 7 = 120 remainder 5, because 7 × 120 = 840 and 845 − 840 = 5.
Yes. The calculator accepts negative integers. The sign of the quotient follows the standard rule: dividing a negative by a positive (or a positive by a negative) produces a negative quotient. The remainder is always shown as a non-negative value.
When the divisor is larger than the dividend the quotient is 0 and the dividend itself becomes the remainder. For example, 3 ÷ 9 = 0 remainder 3.
Use the verification identity: divisor × quotient + remainder = dividend. The calculator displays this check automatically so you can confirm the result is correct.