Answer
$\approx10.919$
Work Step by Step
We find the quotient by dividing:
$~~~~10.9185$
$7\overline{)76.4300}$
$~~~\underline{7}$
$~~~~~~64$
$~~~~~~\underline{63}$
$~~~~~~~~~13$
$~~~~~~~~~~\underline{7}$
$~~~~~~~~~~~60$
$~~~~~~~~~~~\underline{56}$
$~~~~~~~~~~~~~40$
$~~~~~~~~~~~~~\underline{35}$
$~~~~~~~~~~~~~~~5$
Since the questions asks us to round to the nearest thousandth, we can stop with the remainder of 5. We round the quotient to the nearest thousandth:
$10.9185\approx10.919$