Long Division with Steps

The dividend is the number being divided, the divisor is what you divide by, the quotient is the whole-number answer, and the remainder is what is left over. For example 1234 ÷ 7 = 176 remainder 2, because 7 × 176 + 2 = 1234.

Work through the dividend one digit at a time, repeating four moves: divide the current number by the divisor, multiply the divisor by that digit, subtract, then bring down the next digit. This calculator shows every one of those moves in the tableau.

If a remainder you have seen before comes back, the same digits will repeat forever — for example 1 ÷ 3 = 0.333… This calculator detects the cycle and marks the repeating block with an overline.

The remainder is the amount left over after dividing as evenly as possible with whole numbers: 100 ÷ 7 = 14 remainder 2, because 7 × 14 = 98 and 100 − 98 = 2.

Division asks how many groups of the divisor fit into the dividend, and no number of zero-sized groups ever adds up to anything else — so division by zero has no meaningful answer and is undefined.