Long Division - Arithmetic Step by Step

Divide 78 ÷ 6 using long division. Work one digit at a time: divide 7 tens by 6, record quotient digit 1, multiply back and subtract to find the remainder, then bring down the 8 ones and repeat.

Example

long-div-78-by-6.math

6 ) 78

step: divide 7 by 6: quotient digit 1
step: 1 x 6 = 6
step: 7 - 6 = 1
step: bring down 8; working: 18
step: divide 18 by 6: quotient digit 3
step: 3 x 6 = 18
step: 18 - 18 = 0
step: quotient: 13, remainder: 0

long-division-steps Long division processes one digit of the dividend at a time: estimate a quotient digit, multiply by the divisor, subtract, then bring down the next digit. Repeat until all digits are used.