Long Division

Long Division Calculator

Perform long division with full step-by-step working shown. Enter any dividend and divisor to see the digit-by-digit method — the same process you would use on paper. Shows the quotient, remainder, and decimal result.

847 ÷ 7

121

How it works

  1. Step 1: divide 8 by 7

    8÷7=1 remainder 18 \div 7 = 1 \text{ remainder } 1

    7 goes into 8 exactly 1 time (1 × 7 = 7). Remainder: 1. Bring down the next digit (4).

  2. Step 2: divide 14 by 7

    14÷7=2 remainder 014 \div 7 = 2 \text{ remainder } 0

    7 goes into 14 exactly 2 times (2 × 7 = 14). Remainder: 0. Bring down the next digit (7).

  3. Step 3: divide 7 by 7

    7÷7=1 remainder 07 \div 7 = 1 \text{ remainder } 0

    7 goes into 7 exactly 1 time (1 × 7 = 7). Remainder: 0.

    Result:Quotient: 121
  4. Final answer

    847 ÷ 7 = 121 exactly.

    Result:121

The formula

a=q×b+ra = q \times b + r
aaDividend (the number being divided)
bbDivisor (the number to divide by)
qqQuotient (how many times b goes into a)
rrRemainder (what is left over, 0 if exact)

Example substitution

847÷7:847=121×7+0847 \div 7: \quad 847 = 121 \times 7 + 0

7 goes into 847 exactly 121 times. No remainder.

Worked examples

Divide 952 by 8 using long division.

  1. 1
    9 ÷ 8: = 1 rem 1, bring down 5 → 15
  2. 2
    15 ÷ 8: = 1 rem 7, bring down 2 → 72
  3. 3
    72 ÷ 8: = 9 rem 0
Answer: 119

Divide 437 by 6 using long division.

  1. 1
    4 ÷ 6: = 0 rem 4, bring down 3 → 43
  2. 2
    43 ÷ 6: = 7 rem 1, bring down 7 → 17
  3. 3
    17 ÷ 6: = 2 rem 5
Answer: 72 remainder 5

Divide 1296 by 12.

  1. 1
    12 ÷ 12: = 1 rem 0, bring down 9 → 09
  2. 2
    9 ÷ 12: = 0 rem 9, bring down 6 → 96
  3. 3
    96 ÷ 12: = 8 rem 0
Answer: 108

Frequently asked questions

How do you do long division step by step?+

Divide the first digit(s) of the dividend by the divisor. Write the result above, multiply back, subtract to find the remainder, bring down the next digit, and repeat.

How do you show the remainder in long division?+

After the final subtraction, if a remainder exists, write it as "r [remainder]" or continue dividing with a decimal point to get a decimal answer.

What is the bus stop method?+

The bus stop method is another name for short/long division. The divisor goes "outside the bus" and the dividend inside. The quotient is written on top.

How do you check a long division answer?+

Multiply the quotient by the divisor and add any remainder. The result should equal the original dividend.

What is 648 ÷ 8?+

648 ÷ 8 = 81. Working: 6 ÷ 8 = 0 r6; 64 ÷ 8 = 8; 8 ÷ 8 = 1.

How do you divide a decimal using long division?+

After the units digit, place a decimal point in the quotient and continue bringing down zeros to divide the remainder.

Related calculators