We're dividing 508400 by 6 
We're looking to find how many times 6 goes into 508400.

On to step 1:
When dividing 5 by 6, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 6

Moving on to step 2:
6 goes into 50 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 48 from 50, we get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Advancing to step 3:
The number 6 fits into 28 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 84.0
The remainder is 4 after subtracting 24 from 28.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 6

On to step 4:
The number 6 fits into 44 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 847.0
If we subtract 42 from 44, we get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 6

Let's proceed to step 5:
When dividing 20 by 6, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 8473.0
Subtract 18 from 20 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 6

Going ahead to step 6:
6 goes into 20 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 84733.0
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 6 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 84733.3
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 84733.33
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 84733.33 with a balance of 0.002.