3 1/4 divided by 1 1/3
(3+ 1/4 ) / (1+ 1/3)
$${\frac{\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right)}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right)}} = {\frac{{\mathtt{39}}}{{\mathtt{16}}}} = {\mathtt{2.437\: \!5}}$$
3 1/4 divided by 1 1/3
(3+ 1/4 ) / (1+ 1/3)
$${\frac{\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right)}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right)}} = {\frac{{\mathtt{39}}}{{\mathtt{16}}}} = {\mathtt{2.437\: \!5}}$$