85803 ÷ 9 = 9533 R6
Alright, let's work through the division of 85803 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 (0) of the dividend behind the 3 and repeat the process: 30 / 9

Step 4:
9 goes into 30 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 953
Subtract 27 from 30 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 9

Step 5:
9 goes into 33 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 9533
Subtract 27 from 33 to get 6.

The final result is 9533 with a remainder of 6.