What you are actually practicing
Division does not always come out even. 17 ÷ 5 gives three with two left over, and that leftover is the remainder. The rule that matters is a bound: the remainder is always smaller than the divisor.
That bound is not a detail. It eliminates most wrong options instantly, and it is the fact most often forgotten.
How the game works
You are shown a division and four candidate remainders. Pick the correct one. A wrong pick reveals it immediately.
Easy uses small divisors. Medium goes up to twelve. Hard uses larger dividends where the multiplication step is bigger.
The relationships worth knowing
Remainder = dividend minus the largest multiple of the divisor. For 17 ÷ 5: 5 × 3 = 15, and 17 − 15 = 2.
Remainder < divisor, always. Dividing by 5 can only give 0, 1, 2, 3 or 4.
A remainder of zero means it divided evenly. 20 ÷ 5 = 4 exactly.
Strategies that actually raise your score
Find the nearest multiple below the dividend. For 17 ÷ 5, the multiples are 10 and 15; 15 is the last one under 17, so the remainder is 2. One multiplication, no long division.
Use the bound to eliminate first. If the divisor is 5, any option of 5 or more is wrong before you calculate. On four options that usually removes one or two.
Do not confuse the remainder with the quotient. 17 ÷ 5 has quotient 3 and remainder 2, and both appear among the options. Read which one the question asks for.
Check by multiplying back. 3 × 5 + 2 = 17. If it does not reconstruct the dividend, the answer is wrong — one second, complete certainty.