35981 ÷ 8 = 4497 R5
Alright, let's work through the division of 35981 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 (5) of the dividend behind the 3 and repeat the process: 35 / 8

Step 2:
8 goes into 35 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 35 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 3:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 32 from 39 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 8

Step 4:
8 goes into 78 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 449
Subtract 72 from 78 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 5:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 4497
Subtract 56 from 61 to get 5.

The final result is 4497 with a remainder of 5.