PYTHON $3$

Every rational number can be considered to have an infinitely recurring decimal representation of its fractional part. For example $(1/7)$ is written as $0\mathrm{.}142857142857$ with the last $6$ digits recurring to infinity; but even the fraction $(3/8),$ normally written as $0\mathrm{.}375,$ can also be regarded as a recurring decimal if we think of it as $0\mathrm{.}375000...$ In this context, we can always query the kth digit of the decimal expansion of any fraction, for any k$.($We shall regard the first digit after the decimal point as digit $0.)$