10 and 1/3 divided by 2 and 1/4
$$\small{\text{
$
\dfrac{ 10 \frac{1}{3} } { 2\frac{1}{4} }
=\dfrac{ \frac{3\cdot10+1}{3} } { \frac{4\cdot 2+ 1}{4} }
=\dfrac{ \frac{31}{3} } { \frac{9}{4} }
= \frac{31}{3} \cdot \frac{4}{9}
= \frac{31\cdot 4}{3\cdot 9}
= \frac{124}{27}
= 4\frac{16}{27}
$
}}$$
10 and 1/3 divided by 2 and 1/4
$$\small{\text{
$
\dfrac{ 10 \frac{1}{3} } { 2\frac{1}{4} }
=\dfrac{ \frac{3\cdot10+1}{3} } { \frac{4\cdot 2+ 1}{4} }
=\dfrac{ \frac{31}{3} } { \frac{9}{4} }
= \frac{31}{3} \cdot \frac{4}{9}
= \frac{31\cdot 4}{3\cdot 9}
= \frac{124}{27}
= 4\frac{16}{27}
$
}}$$