34138 ÷ 3 = 11379 R1
Alright, let's work through the division of 34138 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 (1) of the dividend behind the 1 and repeat the process: 11 / 3

Step 3:
3 goes into 11 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 113
Subtract 9 from 11 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 4:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 1137
Subtract 21 from 23 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Step 5:
3 goes into 28 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 11379
Subtract 27 from 28 to get 1.

The final result is 11379 with a remainder of 1.