Long Division Calculator
Visual layout and step-by-step explanation of Euclidean division
Enter two positive integers below. The calculator computes the Euclidean division (dividend ÷ divisor = quotient, remainder) and shows each step in detail. For dividends up to 15 digits, a visual long-division layout is also rendered.
Result :
Long division layout
Step-by-step explanation
Frequently asked questions
Euclidean division of a dividend a by a non-zero divisor b gives a unique pair (quotient q, remainder r) such that a = b × q + r and 0 ≤ r < b. The remainder is always strictly less than the divisor.
You work digit by digit from left to right in the dividend. At each step you find the largest multiple of the divisor that fits into the current partial dividend, write that as the next quotient digit, subtract, and bring down the next digit. You repeat until all digits are used.
The quotient is the integer part of the division (how many times the divisor fits in the dividend). The remainder is what is left over. For example 17 ÷ 5 = 3 remainder 2, because 5 × 3 = 15 and 17 − 15 = 2.
Division by zero is undefined in arithmetic. There is no integer q such that 0 × q equals any non-zero number, so the operation has no meaningful result.
Yes. This tool uses JavaScript's native BigInt type, which supports integers of arbitrary size. You can enter numbers with tens of digits. The visual layout is shown for dividends up to 15 digits; step-by-step explanations are shown regardless of size.