34539 ÷ 9 = 3837 R6
Alright, let's work through the division of 34539 by 9 step by step.

Step 1:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 9

Step 2:
9 goes into 34 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 27 from 34 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 9

Step 3:
9 goes into 75 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 72 from 75 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 9

Step 4:
9 goes into 33 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 383
Subtract 27 from 33 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 9

Step 5:
9 goes into 69 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 3837
Subtract 63 from 69 to get 6.

The final result is 3837 with a remainder of 6.