34367 ÷ 6 = 5727 R5
Alright, let's work through the division of 34367 by 6 step by step.

Step 1:
6 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 / 6

Step 2:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 34 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 3:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 42 from 43 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 4:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 572
Subtract 12 from 16 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Step 5:
6 goes into 47 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 5727
Subtract 42 from 47 to get 5.

The final result is 5727 with a remainder of 5.