Long Division Calculator

Divide whole numbers by long division, step by step, with the quotient, remainder and decimal.

Dividend	7865
Divisor	23

Dividend

Divisor

7865 ÷ 23 =

341 R 22

7865 ÷ 23 is 341 with remainder 22, or 341.(9565217391304347826086) as a decimal.

Exact. Checked exactly.

Method: Long division
Worked out with: AllCalcHub whole-number arithmetic
Check: Every step recomputed with exact fractions

Quotient: 341
Remainder: 22
Decimal: 341.(9565217391304347826086)
Check: 23 × 341 + 22 = 7865

Partial quotients: take away easy chunks of the divisor

Take away	That is	Left
300 × 23	6900	965
40 × 23	920	45
1 × 23	23	22

1
Bring down 8: 78 ÷ 23 = 3
78 − 69 = 9
2
Bring down 6: 96 ÷ 23 = 4
96 − 92 = 4
3
Bring down 5: 45 ÷ 23 = 1
45 − 23 = 22

About the Long Division Calculator

Long division works one digit at a time: bring down the next digit, see how many times the divisor fits, write that digit in the answer, subtract, and repeat. What's left at the end is the remainder.

The formula

Dividend = Divisor × Quotient + Remainder

Remainder: always smaller than the divisor

Worked example

7,865 ÷ 23

78 ÷ 23 = 3, remainder 9
96 ÷ 23 = 4, remainder 4
45 ÷ 23 = 1, remainder 22
Answer: 341 R 22

Questions people ask

How do I check my answer?

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

What does the bracket in the decimal mean?

Those digits repeat forever.