What is the quotient of 1 1/3 and 5/6

To divide fractions by other fractions, the right fraction must be flipped. 
Then you multiply,

11 × 6 = 66 (numerator) 
3 × 5 = 15 (denominator) 
So now you would have 

You can simplify this if you'd like  by finding a common multiple,
The common multiple is 3
Divide the top and bottom of the fraction by 3 to get the simplest form of it. 
Your final answer is