Verified Answer :

\(Make \ fractions \\ 2= \frac{2}{1} \\ Flip \ \frac{2}{1} \\ \frac{1}{2} \\ \\ Multiply \\ \frac{1}{8} x \frac{1}{2} \\ Solve \\ \\ \frac{1}{8} x \frac{1}{2}= \frac{1}{16} \\ Solution: \frac{1}{16}\)

when dividing 1/8 by 2
we have to first take the reciprocal of 2 
reciprocal is when the numerator and denominator are exchanged
2 when written as a fraction is \(\frac{2}{1}\)
we need to find the reciprocal of \(\frac{2}{1}\) which is \(\frac{1}{2}\)
then 
\(\frac{1}{2} of \frac{1}{8}\)
when 'of' function is used it means to multiply the 2 fractions 
when multiplying fractions multiply the numerators by numerators and multiply denominators by denominators 
is \(\frac{1}{2} * \frac{1}{8} = \frac{1}{16}\)
answer is \(\frac{1}{16}\)