97616 ÷ 7 = 13945 R1
Alright, let's work through the division of 97616 by 7 step by step.

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 (7) of the dividend behind the 2 and repeat the process: 27 / 7

Step 2:
7 goes into 27 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 21 from 27 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 3:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 139
Subtract 63 from 66 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: 1394
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: 13945
Subtract 35 from 36 to get 1.

The final result is 13945 with a remainder of 1.