34795 ÷ 3 = 11598 R1
Alright, let's work through the division of 34795 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 (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 3:
3 goes into 17 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 115
Subtract 15 from 17 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 3

Step 4:
3 goes into 29 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 1159
Subtract 27 from 29 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 3

Step 5:
3 goes into 25 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 11598
Subtract 24 from 25 to get 1.

The final result is 11598 with a remainder of 1.