Basic College Mathematics (10th Edition)

$\approx18.89$
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: $18.88\bar8\approx18.89$