96517 ÷ 7 = 13788 R1
No problem, we've got 96517 and 7 for the division.

Step 1:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 9 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 2:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 21 from 26 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 3:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 137
Subtract 49 from 55 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 7

Step 4:
7 goes into 61 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 1378
Subtract 56 from 61 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Step 5:
7 goes into 57 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 13788
Subtract 56 from 57 to get 1.

The final result is 13788 with a remainder of 1.