To solve this expression, we need to first simplify each term separately and then perform the addition and division.

Step 1: Simplify each term

(17 16/19 - 5 16/19):
17 16/19 - 5 16/19 = 12

(7 3/5 - 4 4/5):
7 3/5 - 4 4/5 = 2

Step 2: Perform the addition and division
12 + 2 divided by 7

Step 3: Perform the addition and division
12 + 2 = 14

14 divided by 7 = 2

So, the final answer is 2.