34725 ÷ 9 = 3858 R3
Alright, let's work through the division of 34725 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 (7) of the dividend behind the 7 and repeat the process: 77 / 9

Step 3:
9 goes into 77 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 72 from 77 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Step 4:
9 goes into 52 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 385
Subtract 45 from 52 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 9

Step 5:
9 goes into 75 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 3858
Subtract 72 from 75 to get 3.

The final result is 3858 with a remainder of 3.