Long Division Calculator

1. Set up the problem. Enter the dividend (the number you are dividing) and the divisor (the number you are dividing by). For example: 847 ÷ 13. The calculator works with integers. Negative numbers are supported.
2. Work digit by digit. Long division processes one digit of the dividend at a time, from left to right. At each step: bring down the next digit, see how many times the divisor fits (the partial quotient digit), multiply and subtract, and carry the remainder forward.
3. Read the result. The quotient is the whole-number answer. The remainder is what is left over. The decimal result divides these fully. Example: 847 ÷ 13 = 65 remainder 2, or 65.153846...

For 847 ÷ 13: look at 8, 13 does not fit, so look at 84. 13 × 6 = 78, remainder 6. Bring down 7 to get 67. 13 × 5 = 65, remainder 2. Quotient: 65, remainder: 2.

Division relationship:
  Dividend = Divisor × Quotient + Remainder

Example: 847 = 13 × 65 + 2
  Check: 13 × 65 = 845, 845 + 2 = 847 ✓

Decimal conversion:
  Decimal = Dividend / Divisor
  847 / 13 = 65.153846...

Remainder to fraction:
  847 ÷ 13 = 65 and 2/13

Long division steps for 847 ÷ 13:
  1. 84 ÷ 13 = 6 remainder 6   (13×6=78, 84-78=6)
  2. 67 ÷ 13 = 5 remainder 2   (13×5=65, 67-65=2)
  Result: quotient 65, remainder 2

Negative number rule:
  -847 ÷ 13 = -65 remainder 2
  847 ÷ -13 = -65 remainder 2
  Sign of quotient: negative if exactly one input is negative.
  Remainder always takes the sign of the dividend.