11516 ÷ 7 = 1645 R1
Alright, let's work through the division of 11516 by 7 step by step.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Step 2:
7 goes into 11 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 11 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 7

Step 3:
7 goes into 45 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 42 from 45 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 4:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 164
Subtract 28 from 31 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 7

Step 5:
7 goes into 36 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 1645
Subtract 35 from 36 to get 1.

The final result is 1645 with a remainder of 1.