32304 ÷ 6 = 5384 R0
Alright, let's work through the division of 32304 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 (2) of the dividend behind the 3 and repeat the process: 32 / 6

Step 2:
6 goes into 32 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 32 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 6

Step 3:
6 goes into 23 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 53
Subtract 18 from 23 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

Step 4:
6 goes into 50 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 538
Subtract 48 from 50 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 6

Step 5:
6 goes into 24 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 5384
Subtract 24 from 24 to get 0.

The final result is 5384 with a remainder of 0.