85513 ÷ 9 = 9501 R4
Alright, let's work through the division of 85513 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 (5) of the dividend behind the 4 and repeat the process: 45 / 9

Step 3:
9 goes into 45 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 45 from 45 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 9

Step 4:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 950
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 9

Step 5:
9 goes into 13 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 9501
Subtract 9 from 13 to get 4.

The final result is 9501 with a remainder of 4.