Hai there!
First, let's use the KCF technique (my old math teacher taught me this!)
Keep the first fraction the same, in this case, 1/2
Change the sign from division to multiplication
Flip the second fraction, or 3/8, to get it's reciprocal, or 8/3.
The new equation should look like this:
1/2 * 8/3
Now multiply straight across like you normally would, like so:
1 * 8 = 8
2 * 3 = 6
The new fraction is 8/6. Simplify by dividing both sides by 2 and turning it into a mixed fraction:
8 / 2 = 4
6 / 2 = 3
4/3 = 1 1/3
The solution to 1/2 / 3/8 is 4/3 or 1 1/3. I hope this helped you :)