Remainder is what is left after whole-number division. 17 ÷ 5 is 3 remainder 2, because 5 × 3 = 15 and 2 is left. Integers as a set are in integers on ACT Math.
Not the decimal
17 ÷ 5 = 3.4 is true and still not the remainder. Remainder 2 is the leftover count. GCF and LCM are a related leftover, in GCF and LCM.
The short list is in ACT Math formulas.
The bottom line
Dividend = divisor × quotient + remainder. Remainder is smaller than the divisor.
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