We look at the division of 508320 by 10 
We're looking to find how many times 10 goes into 508320.

Advancing to step 1:
The number 10 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 10

Advancing to step 2:
50 divided by 10 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 0 after subtracting 50 from 50.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 10

Moving on to step 3:
10 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 50.0
If we subtract 0 from 8, we get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 10

Step 4:
If we divide 83 by 10, we get 8 and a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 508.0
Deduct 80 from 83 and we're left with 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 10

Let's proceed to step 5:
When dividing 32 by 10, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 5083.0
Subtract 30 from 32 to get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 10

Moving on to step 6:
10 can be fit into 20 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 50832.0
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
0 divided by 10 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 50832.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
10 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 50832.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 50832.0 with a balance of 0.0.