When the integer n is divided by 7, the remainder is 3. What is the remainder if 5n is divided by 7?
Dividend = n
Divisor = 7
Quotient = Q
Remainder = 3
n = 7Q+3
Multiplying with 5,
5n = 35Q+15
Dividing with 7,
$$\dfrac{5n}{7} = \dfrac{35Q}{7}+\dfrac{15}{7}$$
Here, When 15 is divided by 7, remainder will be 1.
Therefore, 1 will be the remainder when 5n is divided by 7.
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