# Estimate Quotients

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Estimate quotients are basically to find out the quotient by the different methods. It can be done by simple division method or by the formula, that is, dividend = divisor x quotient + remainder. This formula needs to be applied in consideration to the PEMDAS rule. Some of the expressions may have zero remainder, but it always have definite remainder. This is can be better clarified by taking suitable examples and examples are as follows:-

Question 1:- Find the quotient if dividend equals to 20, divisor equals to 3 and remainder is equal to 2 by the suitable means.

Solution 1:- Given dividend = 20

Divisor   = 3

And remainder = 2

We know that dividend = divisor x quotient + remainder

20        =          3 x quotient + 2

Subtract 2 from both sides of equation, we get

20 - 2   =          3 x quotient + 2 – 2

18        =          3 x quotient

Now to find out the value of quotient, we need to divide both sides by 3

Therefore quotient      =          18/3     = 6

Question 2:- Find the quotient if dividend equals to 30, divisor equals to 3 and remainder is equal to 0 by the suitable means.

Solution 2:- Given dividend   = 30

Divisor      = 3

And remainder = 0

We know that dividend = divisor x quotient + remainder

30        =          3 x quotient + 0

30        =          3 x quotient

Now to find out the value of quotient, we need to divide both sides by 3

Therefore quotient      =          30/3     = 10