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Long Division Calculator

Work a long division step by step, laid out the way it is taught, with the quotient, remainder, mixed number and exact decimal.

Change the values and press Calculate to work out your own figures.

Enter the dividend and a whole-number divisor to see the long division written out.

About dividendThe number being divided.
About divisorThe number you divide by (not 0).
Result
Answer
18 R 3
Quotient
18
Remainder
3
As a decimal
18.75
As a mixed number
18 3/4

75 ÷ 4 = 18 R 3 (18.75 as a decimal).

Long division
    18
    ‾‾
4 ) 75
   -4
   ‾‾
    35
   -32
   ‾‾‾
     3
Show the working
  1. Bring down to 7: 4 goes into it 1 time; 7 − 4 = 3
  2. Bring down to 35: 4 goes into it 8 times; 35 − 32 = 3

How to use it

Enter the dividend and a whole-number divisor to see the long division written out.

The answer is exact: whole numbers of any size up to 30 digits are handled without rounding, and Show the working lists every step.

Key facts

dividend = divisor × quotient + remainder

The steps

Divide: how many times does the divisor go into the first digits? Multiply and write the product underneath. Subtract. Bring down the next digit and repeat until there are no digits left. What remains is the remainder.

Questions

What is 75 divided by 4?

18 remainder 3, or 18 3/4, or 18.75.

How do I divide by a decimal?

Multiply both numbers by 10 (or 100) until the divisor is whole: 5 ÷ 0.5 is the same as 50 ÷ 5 = 10.

Formulas

dividend = divisor × quotient + remainder

Sources

Limitations

  • Numbers have at most 30 digits; factor lists and prime factorizations are limited to 10¹².

Formula version 0.1.0Reviewed