Divide two whole numbers and see the full long division process shown step by step, including the quotient and remainder.
📖 Standard Long Division AlgorithmFill in the fields on the left with your information, then press Calculate to see your result instantly. No sign-up required, and no data is sent anywhere — everything is calculated right in your browser.
Long division breaks a division problem into a repeated sequence of four small steps applied digit by digit: bring down the next digit of the dividend, divide the resulting working value by the divisor to get one digit of the quotient, multiply that digit by the divisor, and subtract to find the new remainder before repeating with the next digit. This calculator performs exactly that process automatically and displays every intermediate step in a table, rather than only showing the final answer, so the method itself stays visible alongside the result. This is the same standard algorithm taught in most elementary school curricula worldwide, and it works for dividing any whole number by any other whole number, always producing a quotient and a remainder (which is zero when the division is exact). Seeing every intermediate 'bring down, divide, multiply, subtract' cycle laid out in order also makes it far easier to spot exactly where a hand-calculated answer went wrong, rather than only knowing that the final result doesn't match.
Long division has a reputation as one of the more intimidating arithmetic procedures taught in school, not because the underlying idea is complicated, but because it requires holding several small steps in the right order across multiple digits. A calculator that only returns the final quotient skips past exactly the part that most students and parents actually need help with: seeing where a specific step went wrong.
The algorithm itself is a repeating four-step cycle. First, bring down the next digit of the dividend to build (or extend) a working value. Second, figure out how many times the divisor fits into that working value — this becomes the next digit of the quotient. Third, multiply that quotient digit by the divisor. Fourth, subtract that product from the working value to get a new remainder, which then combines with the next brought-down digit to start the cycle again. This is the exact loop this calculator runs and displays row by row.
Because the cycle repeats identically for every digit, one small arithmetic slip early on — a wrong subtraction, or bringing down the wrong digit — cascades into every step that follows, producing a final answer that looks plausible but is actually wrong. A table of every intermediate value makes it possible to check each row independently rather than re-deriving the whole problem from scratch to find a single mistake.
Long division also generalizes naturally to numbers of any size, unlike some shortcut division tricks that only work for specific small divisors. The same four-step cycle handles a two-digit dividend or an eight-digit one identically, just with more repetitions of the same loop — which is part of why it remains the standard general-purpose division method taught across nearly every educational system, even as calculators have made memorized division facts less essential for everyday life.
Understanding the remainder is just as important as the quotient itself. A remainder of zero means the division was exact; any other remainder represents the amount left over after removing as many complete groups of the divisor as possible. This distinction matters in real contexts too — dividing 100 cookies among 7 people gives 14 cookies each with 2 left over, a very different practical answer than a rounded decimal quotient would suggest.
The calculator shows the remainder alongside the quotient — for example, 100 ÷ 7 gives a quotient of 14 with a remainder of 2, since 14×7=98 and 100-98=2.
No — division by zero is mathematically undefined, so the calculator will alert you if you enter zero as the divisor.
This tool is built for whole-number long division; for calculations involving decimal inputs or a decimal quotient, use the Decimal Calculator instead.