31081 ÷ 8 = 3885 R1
Alright, let's work through the division of 31081 by 8 step by step.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 2:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 24 from 31 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 3:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 64 from 70 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 8

Step 4:
8 goes into 68 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 388
Subtract 64 from 68 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: 3885
Subtract 40 from 41 to get 1.

The final result is 3885 with a remainder of 1.