Division with Remainders

Pre-Algebra · Axiom Academy

EXAMPLE Division with Remainders Let's work through 357 ÷ 8 using long division, one step at a time. Divide 357 by 8 using long division. We want the quotient (how many whole times 8 fits) and the remainder (what is left over). Set up: divisor 8 outside, dividend 357 under the bar. Final result: 44 remainder 5 . Nice work — you carried all the way through long division to 44 remainder 5 . The moves repeat every cycle: Set up: divisor outside, dividend inside the bracket. Work left to right through the dividend, one or two digits at a time. Divide, multiply, subtract, bring down — then repeat with the next digit. The remainder is what's left once every digit has been used. Check it: the original number, here . The remainder must always be smaller than the divisor. If your remainder is larger than or equal to the divisor, you can divide one more time.

This is the written version of the interactive lesson above. See the full Pre-Algebra course.