You could start by noticing
[tex]\dfrac{417.2}{17.2}=\dfrac{\frac{4172}{10}}{\frac{172}{10}}=\dfrac{4172}{172}[/tex]
so you don't have to worry about the decimal point anymore. Then carry out the division as usual.
172*24 = 4128
so we have
4172 = 4128 + 44 = 172*24 + 44
[tex]\implies\dfrac{417.2}{17.2}=\dfrac{4172}{172}=24+\dfrac{44}{172}[/tex]
