85884 ÷ 9 = 9542 R6
Alright, let's work through the division of 85884 by 9 step by step.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 8 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 2:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 85 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 3:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 45 from 48 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 9

Step 4:
9 goes into 38 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 954
Subtract 36 from 38 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 9

Step 5:
9 goes into 24 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 9542
Subtract 18 from 24 to get 6.

The final result is 9542 with a remainder of 6.