On dividing 55 thousand 390 by 299 the remainder is 75. Find the quotient using the the division algorithm.

Given: On  dividing 55 thousand 390 by 299 the remainder is 75.

To find : The quotient using the division algorithm.

Solution:

$\frac{55,390}{299}$ R = 75 Finding the quotient using division algorithm

Dividend = 55390; Divisor = 299; Remainder R = 75 Quotient = ?

Division algorithm states that

Dividend = Divisor $\times$ Quotient $+$ Remainder

55390 = 299 $\times$ Q $+$ 75

So, 299 Q = 55390 $-$ 75 = 55315

         Q = 55315$\times$299 = 185  

Therefore, the quotient is 185  

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Updated on: 10-Oct-2022

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