Given: The number is (300)

_{10}
.To convert it into base 5, divide the given number by 5.

(300)_{10} = $\frac{300}{5}$ = 60.

The quotient is 60 and remainder is 0.

$\frac{60}{5}$ = 12

Here quotient is 12 and remainder is 0

$\frac{12}{5}$ = 2

Here quotient is 2 and remainder is 2

$\frac{2}{5}$ = 0

Here quotient is zero and remainder is 2.

Listing out all the remainders from bottom to top, we get (240)

_{10} = (2200)

_{5}.

_{}