Shelly has a roll of fabric and decides to make some scarves for her friends.

The roll contains 6
2
3
yards of fabric. She needs 5
6
of a yard of fabric for each

scarf. How many scarves can she make?

I will assume you meant to say:

The roll contains 6 2/3 yards of fabric. She needs 5/6 of a yard
of fabric for each scarf. How many scarves can she make?

so you want:
6 2/3 ÷ 5/6
= 20/3 ÷ 5/6
= (20/3)(6/5)
= ....