Free Online Calculator

Long Division Calculator

Divide step by step and see every working line.

Last updated: Free, no sign-up Private — runs in your browser

Quick answer: long division

Bring down each digit, divide, multiply, subtract. 7,845 ÷ 12 = 653 remainder 9.

Overview of the Long Division Calculator

Long division splits a division into small steps you can do by hand. Enter a dividend and divisor and the calculator shows a table with each step — the number brought down, the quotient digit, the product subtracted and the remainder — then gives the answer as a quotient and remainder, a decimal to any number of places (up to 30), or an exact repeating decimal such as 0.(142857).

The check line confirms quotient × divisor + remainder = dividend. See the Fraction Calculator for fractions, the GCF Calculator for simplifying and the Big Number Calculator for huge divisions.

How We Calculate

The calculator applies the standard method step by step.

  1. Take the first digit(s) of the dividend that are at least as big as the divisor.
  2. Divide: how many times does the divisor fit? Write that digit in the quotient.
  3. Multiply that digit by the divisor and subtract from the number.
  4. Bring down the next digit and repeat until the dividend runs out; what is left is the remainder.
  5. For decimals, add a decimal point and keep bringing down zeros.
dividend = divisor × quotient + remainder
Worked example — long division calculator
ItemValue
Quotient653
Remainder9
Check: quotient × divisor + remainder7845 ✓
As a mixed number653 9/12
Long division steps
StepActionNumberQuotient digitSubtractRemainder
1Bring down 77007
2Bring down 8786726
3Bring down 4645604
4Bring down 5453369
Long division results
DivisionAnswer
7845 ÷ 12653 remainder 9
100 ÷ 812.5
1 ÷ 70.142857142857 (to 12 places)
22 ÷ 73.14285 (to 5 places)
1000 ÷ 3333 remainder 1

Long Division Calculator — Frequently Asked Questions

How do I do long division?

Divide, multiply, subtract, bring down — repeat for each digit of the dividend.

What is the remainder?

What is left over after dividing as many whole times as possible. 7,845 ÷ 12 leaves 9.

How do I do long division with decimals?

Once the whole digits are used up, put a decimal point in the quotient and keep bringing down zeros.

What are repeating decimals?

Some divisions never end: 1 ÷ 3 = 0.3333…, written 0.(3). The calculator finds the repeating block.

How can I check a division?

Multiply the quotient by the divisor and add the remainder; you should get the dividend.

What if the divisor is bigger than the dividend?

The quotient is 0 with the dividend as the remainder, or a decimal if you ask for decimal places.

How is the long division calculator calculated?

It uses the standard method: dividend = divisor × quotient + remainder The full working and a worked example are shown on this page.

How accurate is this calculator?

Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.

Can I use it for homework or exams?

Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.

Is my data stored?

No. Everything is calculated in your browser and nothing you enter is uploaded or saved.

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