85801 ÷ 8 = 10725 R1
Alright, let's work through the division of 85801 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 (8) of the dividend behind the 5 and repeat the process: 58 / 8

Step 3:
8 goes into 58 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 56 from 58 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 8

Step 4:
8 goes into 20 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 1072
Subtract 16 from 20 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: 10725
Subtract 40 from 41 to get 1.

The final result is 10725 with a remainder of 1.