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Arithmetic (Beginner) · Quick Reference
Division Cheat Sheet
In one line: division splits a number into equal parts. It is the inverse operation of multiplication.
Key Ideas
1Dividend, Divisor, Quotient. In a ÷ b = c, a is the dividend, b is the divisor, and c is the quotient.
2Remainder. The amount left over when a number does not divide evenly.
3Division by Zero. Dividing by zero is undefined — it is never allowed.
4Long Division. A step-by-step method: divide, multiply, subtract, bring down, repeat.
5Checking Division. Multiply the quotient by the divisor and add the remainder; it should equal the dividend.
Worked Examples
Divide 84 ÷ 4.
21
Divide 97 ÷ 5.
19 remainder 2
Check that 156 ÷ 12 = 13.
Confirmed correct
Formulas
Dividend = Divisor x Quotient + Remainder
Practice Yourself
36 ÷ 6 = ?
6
100 ÷ 4 = ?
25
50 ÷ 7 = ?
7 remainder 1