2934 ÷ 6 = 489 R0
Alright, let's work through the division of 2934 by 6 step by step.

Step 1:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 2:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 24 from 29 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 6

Step 3:
6 goes into 53 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 48
Subtract 48 from 53 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 6

Step 4:
6 goes into 54 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 489
Subtract 54 from 54 to get 0.

The final result is 489 with a remainder of 0.