32x^3y
---------
24xy^4
Look at this in parts:
the numbers first:
32/24 divide by 2:
16/12 divide by 2:
8/6 divide by 2:
4/3
Now look at the x's:
x^3/x subtract the exponents:
x^2
Last the y's:
y/y^4 subtract the exponents
1/y^3
The answer is:
4x^2
-------
3y^3