Divide integers with a quotient and remainder (or decimal expansion).
Formula
dividend = quotient × divisor + remainder
Explanation
Long division repeatedly subtracts multiples of the divisor from the dividend. The identity dividend = quotient×divisor + remainder always holds, with 0 ≤ remainder < |divisor|. Repeating decimals appear when the remainder cycle repeats.
Variables
dividendnumber being divided
divisornumber you divide by
quotientwhole-number result of division
remainderleftover after forming the quotient
When to use
Classroom division, converting improper fractions, and checking modular arithmetic.