Answer
One would set up (eventually adding zeros in the dividend):
$~~~~0.$
$8\overline{)1.}$
Work Step by Step
In order to convert the fraction $\frac{1}{8}$ to a decimal, we divide 1 by 8:
$~~~~0.$
$8\overline{)1.}$
The next step would be to write zeros in the dividend ($1.00$). Then one would place a 1 in the quotient and subtract $1∗8=8$ from $10$ in the dividend. One would continue this process until there is no remainder or until the sufficient number of significant digits is obtained.