Answer
5.4
Work Step by Step
$-10\underset\smile{.2}6\div(-1\underset\smile{.9})=-102.6\div(-19)$
The quotient of two negatives is positive.
$\ \ \ \ \ \ \ \ \ \ \ \ \ 5.4$
$-19\big)\overline{-102.6}$
$\ \ \ \ \ \ \ \ \ \ \ \underline{95}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ 76$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \underline{76}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0$