Answer
$\approx 516.67$
Work Step by Step
We find the quotient by dividing:
$0.006\overline{)3.1}$
We move the decimal point three places to the right to simplify the division:
$~~~~~516.666$
$6\overline{)3100.000}$
$~~~~\underline{30}$
$~~~~~~10$
$~~~~~~~~\underline{6}$
$~~~~~~~~~40$
$~~~~~~~~~\underline{36}$
$~~~~~~~~~~~40$
$~~~~~~~~~~~\underline{36}$
$~~~~~~~~~~~~~40$
$~~~~~~~~~~~~~\underline{36}$
$~~~~~~~~~~~~~~~40$
$~~~~~~~~~~~~~~~\underline{36}$
$~~~~~~~~~~~~~~~~~4$
Since the questions asks us to round to the nearest hundredth, we can stop with the remainder of 4. We round the quotient to the nearest hundredth:
$516.66\bar6~\approx516.67$
