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Long Division Calculator

See the full long division layout and each divide, multiply, subtract and bring down step.

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Long Division Calculator

Long division with every step laid out

The number being divided.

The number you divide by.

8436 ÷ 12

703

Divides exactly, no remainder

Quotient
703
Remainder
0
Decimalto 10 places
703
Check
703 × 12 + 0 = 8436

How it was calculated

  1. 703 ____ 12 ) 8436 84 -- 3 0 - 36 36 -- 0
  2. 12 goes into 84 7 times: 7 × 12 = 84, and 84 - 84 = 0. Bring down the 3.
  3. 12 goes into 3 0 times: 0 × 12 = 0, and 3 - 0 = 3. Bring down the 6.
  4. 12 goes into 36 3 times: 3 × 12 = 36, and 36 - 36 = 0.

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How the long division calculator works

Long division repeats four steps: divide, multiply, subtract and bring down. Take the first digits of the dividend that the divisor fits into, write how many times it fits above them, multiply that digit by the divisor, subtract, then bring down the next digit and repeat.

In remainder mode the answer is a whole-number quotient plus what's left over (the remainder), which is always smaller than the divisor. In decimal mode the calculator keeps going past the decimal point by bringing down zeros, up to the number of places you choose.

Decimal dividends and divisors are handled by multiplying both by the same power of 10 first, which doesn't change the answer: 12.5 ÷ 0.25 is the same as 1250 ÷ 25.

Using and checking your result

Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.

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