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The division of the same dividend and divisor is always 1. For example: 4 ÷ 4 =
1.
If the divisor is ‘1’ then any dividend will have the quotient equal to itself.
There are 15 sweets; each child is to get 1 sweet. How many children get the
sweets?
Any no. ÷ 1 = The same no.
The product of the divisor and the quotient added to the remainder is always
equal to the dividend known as the division algorithm.
(Divisor × Quotient) + Remainder = Dividend.
(d × q) + r = D
Note: Always find the product first and then add the remainder. (This helps us to
check whether the division is done correct or not.)
Example: Divide 23 by 7
Checking:
(d × q) + r = D
(7 × 3) + 2 = 23
21 + 2 = 23
23 = 23
So, the division is correct.
In a division sum the remainder is always smaller than the divisor.
Example: In the last example clearly we can see that the remainder (2) is less
than the divisor (7).
Every divisor fact has two multiplication facts to verify it.
Example: In division, 12 ÷ 6 = 2, two multiplication facts are 2 × 6 = 12 and
6 × 2 = 12.
The quotient and the divisor are always the factors(exact divisors) of the
dividend, if there is no remainder.
Example:
D d Q
18 ÷ 3 = 6
3 × 6 = 18