10 + (6 1/4 - 5 3/8) ÷ (5/16*(3 1/4 - 2 3/16)) ÷ 4/5

First, let's simplify inside the parentheses:
6 1/4 = 25/4
5 3/8 = 43/8

25/4 - 43/8
= 50/8 - 43/8
= 7/8

3 1/4 = 13/4
2 3/16 = 19/16

13/4 - 19/16
= 52/16 - 19/16
= 33/16

Now we have:
10 + (7/8) ÷ (5/16 (33/16)) ÷ 4/5
10 + (7/8) ÷ (5/16 33/16) ÷ 4/5
10 + (7/8) ÷ (165/256) ÷ 4/5
10 + (7/8) ÷ (165/256) ÷ 4/5
10 + (7/8) ÷ (165/256 5/4)
10 + (7/8) ÷ (825/1024)
10 + (7/8) (1024/825)
10 + 896/825
10 + 1.08545

So, the final answer is:
10 + 1.08545 = 11.08545