93961 ÷ 8 = 11745 R1
Alright, let's work through the division of 93961 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 (3) of the dividend behind the 1 and repeat the process: 13 / 8

Step 2:
8 goes into 13 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 8 from 13 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 3:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 117
Subtract 56 from 59 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 8

Step 4:
8 goes into 36 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 1174
Subtract 32 from 36 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 8

Step 5:
8 goes into 41 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 11745
Subtract 40 from 41 to get 1.

The final result is 11745 with a remainder of 1.