Question
On dividing $55390$ by $299,$ the remainder is $75$. Find the quotient using division algorithm.
✓
Answer
Here, divisor $= 299$, dividend $= 55390$ and remainder $= 75.$
dividend = divisor $\times $ quotient + remainder
$\Rightarrow 55390 = 299 \times $ quotient $+ 75$
$\Rightarrow 299 \times $ quotient $= 55390 − 75 = 55315$
$\Rightarrow $ quotient. $= 55315 ÷ 299 = 185$
Hence, the quotient is $185.$
dividend = divisor $\times $ quotient + remainder
$\Rightarrow 55390 = 299 \times $ quotient $+ 75$
$\Rightarrow 299 \times $ quotient $= 55390 − 75 = 55315$
$\Rightarrow $ quotient. $= 55315 ÷ 299 = 185$
Hence, the quotient is $185.$
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