83.3 recurring is the same as \(83\frac{1}{3}\)
1.3 recurring is the same as \(1\frac{1}{3}\)
So your problem is equivalent to \(\frac{83\frac{1}{3}}{1\frac{1}{3}}\)
To be clearer, make them both into improper fractions.
Multiply the whole number by the denominator and add it to the numerator.
For the top, 83*3=249
Adding that to the numerator gives 250.
For the bottom, 1*3=3
Adding that to the numerator gives 4.
\(\frac{\frac{250}{3}}{\frac{4}{3}}\)
Anything divided by a fraction is the same as it multiplied by the fraction's reciprocal.
\(\frac{250}{3}*\frac{3}{4}\)
250*3=750
3*4=12
\(\frac{750}{12}\)
Simplify
\(\frac{750}{12}=\frac{375}{6}\)
That is as far as that fraction can be simplified, but it is equivalent to 62.5
\(\frac{750}{12}=\frac{375}{6}=62.5\)