Calculator Tools
Long Division Calculator
Free long division calculator with step-by-step work, vertical layout, remainders, mixed numbers, and decimal expansion with repeating-digit detection.
Inputs
Classic examples
Answer format
Schoolbook answer: a whole-number quotient with the leftover remainder.
Result
1,234 / 7 = 176 R 2
Quotient
176
Remainder
2
Dividend = Divisor x Quotient + Remainder
Vertical layout
176
____
7 ) 1234
- 7
--
53
- 49
--
44
- 42
--
2The traditional schoolbook layout: divisor on the left, dividend under the bar, quotient on top, each subtraction worked out below the digit it was brought down to.
Step by step
Step 1
quotient digit: 1
12 / 7 = 1 with 12 - (1 x 7) = 12 - 7 = 5. Bring down the 3 to make 53.
Step 2
quotient digit: 7
53 / 7 = 7 with 53 - (7 x 7) = 53 - 49 = 4. Bring down the 4 to make 44.
Step 3
quotient digit: 6
44 / 7 = 6 with 44 - (6 x 7) = 44 - 42 = 2.
How the algorithm works
Whole-number division
Walk the dividend's digits left to right. After each digit is brought down, divide the running partial by the divisor, write the quotient digit on top, subtract the product, and repeat with the next digit. The leftover at the end is the remainder.
Decimal expansion
Once the dividend is exhausted, append zeros and keep dividing. Track every intermediate remainder: the first time one repeats, the digits since that point form the repetend. A divisor whose prime factors are only 2 and 5 always terminates; everything else either repeats or, in pathological cases, exceeds the display budget.
How to use
- Type the dividend (the number being divided) and the divisor (the number you divide by) into the two input fields. Commas, spaces, and underscores are ignored.
- Pick an answer format: Quotient with remainder, Mixed number, or Decimal expansion (with repeating-digit detection).
- Tap a Classic example chip (1234 / 7, 100000 / 23, 1 / 7, 22 / 7) to load a worked problem in one click.
- Read the headline equation for the short answer, the Quotient and Remainder cards for the parts, and the Vertical layout block for the schoolbook work shown.
- Scroll the Step by step list to see each partial dividend, quotient digit, subtraction, and bring-down written out in words.
- Use Copy answer to grab the equation, Copy layout to copy the vertical work shown, or Copy full work for a complete plain-text report.
About this tool
Long Division Calculator works any whole-number division the way it is taught in classrooms: a vertical layout under the dividend, a quotient written across the top, and a step-by-step trace of every subtraction and bring-down. Type a dividend up to thirty digits and a non-zero divisor up to eighteen digits, then pick how you want the answer expressed. Quotient with remainder gives the classic schoolbook result (1234 divided by 7 is 176 R 2). Mixed number wraps the same answer into whole-number plus proper fraction form (176 and 2/7). Decimal expansion keeps dividing past the decimal point and detects repeating cycles using the standard remainder-position trick: the first remainder that appears twice marks the start of the repetend, and the repeated block is wrapped in parentheses (so 1 divided by 7 reads 0.(142857) and 1 divided by 3 reads 0.(3)). The tool flags terminating decimals (divisors whose only prime factors are 2 and 5), reports cycle lengths, and shows where the non-repeating prefix ends. Eight one-click presets cover the most-searched practice values (1234 by 7, 100000 by 23, 1 by 7, 22 by 7, 355 by 113, and more). Every step lists the partial dividend, the chosen quotient digit, the product subtracted, the running remainder, and the digit brought down next, so the work matches what a student would write in a notebook. The vertical layout is a monospace text block that you can copy straight into a worksheet, a chat message, or a notes app. All arithmetic is done with BigInt, so even 30-digit problems are exact at every position, and everything runs locally in your browser: the numbers you enter are never uploaded.
Free to use. Works in your browser. No signup, no login.
Related tools
You may also like
Fraction Calculator
Add, subtract, multiply, and divide fractions with simplified results and step-by-step working.
Open tool
CalculatorGCD and LCM Calculator
GCD and LCM for any set of integers, with Euclidean steps and prime factorization.
Open tool
CalculatorFactor Tree Generator
Visual factor tree, exponent form, step-by-step splits, divisors, and counts.
Open tool
CalculatorPrime Number Calculator
Primality test plus prime factorization, divisors, divisor count, divisor sum, and next or previous prime.
Open tool
CalculatorPercentage Calculator
Four percentage calculators: percent of, what percent, change, and discount.
Open tool
ConverterDecimal Fraction Converter
Two-way converter with repeating decimal support and step-by-step working.
Open tool