Answer
$\approx18.89$
Work Step by Step
We find the quotient by dividing:
$0.09\overline{)1.7}$
We move the decimal point two places to the right to simplify the division:
$~~~~~~18.888$
$9\overline{)170.000}$
$~~~~~\underline{9}$
$~~~~~~80$
$~~~~~~\underline{72}$
$~~~~~~~~~80$
$~~~~~~~~~\underline{72}$
$~~~~~~~~~~~80$
$~~~~~~~~~~~\underline{72}$
$~~~~~~~~~~~~~80$
$~~~~~~~~~~~~~\underline{72}$
$~~~~~~~~~~~~~~~8$
Since the questions asks us to round to the nearest hundredth, we can stop with the remainder of 8. We round the quotient to the nearest hundredth:
$18.88\bar8\approx18.89$