96938 ÷ 8 = 12117 R2
Alright, let's work through the division of 96938 by 8 step by step.

Step 1:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 9 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 8

Step 2:
8 goes into 16 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 16 from 16 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 8

Step 3:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 121
Subtract 8 from 9 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 8

Step 4:
8 goes into 13 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1211
Subtract 8 from 13 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 8

Step 5:
8 goes into 58 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 12117
Subtract 56 from 58 to get 2.

The final result is 12117 with a remainder of 2.