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30 ÷ 6 = 5 (Here, Dividend = 30, Divisor = 6, Quotient = 5)
5 × 6 = 30
30 ÷ 5 = 6 (Here, Dividend = 30, Divisor = 5, Quotient = 6)

Dividend = Divisor × Quotient

This shows that multiplication and division are interconnected.

Properties of division

1. When a number is divided by itself, the quotient is 1.

Examples: a. 36 ÷ 36 = 1 b. 239 ÷ 239 = 1

2. When a number is divided by 1, the quotient is the number itself.
Examples: a. 37 ÷ 1 = 37 b. 325 ÷ 1 = 325

3. When 0 is divided by a non-zero number, the quotient is zero.

Examples: a. 0 ÷ 44 = 0 b. 0 ÷ 365 = 0
4. Division by 0 is meaningless.

5. Divisor × Quotient + Remainder = Dividend

division by decomposition

We can break up the dividend into parts to divide.

64 ÷ 4 = ?

Division can be performed by decomposing a divisor into small parts either by addition

or by subtraction. Can you decompose a divisor into smaller parts?

So far, we have seen how a dividend or divisor can be broken up into parts according
to our own convenience. What if we are not good at memorising the multiplication
table? Can the quotient be broken up into parts as well?

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Mathematical Operations