34590 ÷ 3 = 11530 R0
Alright, let's work through the division of 34590 by 3 step by step.

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

Step 2:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 3 from 4 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 3

Step 3:
3 goes into 15 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 115
Subtract 15 from 15 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 3

Step 4:
3 goes into 9 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 1153
Subtract 9 from 9 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 3

Step 5:
3 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 11530
Subtract 0 from 0 to get 0.

The final result is 11530 with a remainder of 0.