85338 ÷ 8 = 10667 R2
Alright, let's work through the division of 85338 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 (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 3:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 106
Subtract 48 from 53 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 4:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 1066
Subtract 48 from 53 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 8

Step 5:
8 goes into 58 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 10667
Subtract 56 from 58 to get 2.

The final result is 10667 with a remainder of 2.