85997 ÷ 8 = 10749 R5
Alright, let's work through the division of 85997 by 8 step by step.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 8

Step 2:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 5 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: 107
Subtract 56 from 59 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 4:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 1074
Subtract 32 from 39 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 8

Step 5:
8 goes into 77 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 10749
Subtract 72 from 77 to get 5.

The final result is 10749 with a remainder of 5.