now, to change a decimal to fraction, we use "as many zeros on the denominator as there are decimals, and lose the dot", so let's do so.
-83.2 has only 1 decimal, so we'll use one zero,
[tex]\bf -83.\underline{2}\implies \cfrac{-832}{1\underline{0}}\implies \stackrel{simplified}{\cfrac{-416}{5}}[/tex]
now if we divide 416 by 5, we end up with a quotient of 83, and a remainder of 1,
[tex]\bf -\stackrel{quotient}{83}\frac{\stackrel{remainder}{1}}{5}\implies -83\frac{1}{5}[/tex]
