We're dividing 510552 by 80 
Our goal is to divide 510552 by 80.

Going ahead to step 1:
80 can be fit into 5 0 times, resulting in 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 (1) from the dividend after 5, then repeat: 51 / 80

Step 2:
80 can be fit into 51 0 times, resulting in a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 80

On to step 3:
80 can be fit into 510 6 times, resulting in a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 480 from 510, we get 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 80

Advancing to step 4:
When dividing 305 by 80, we get 3 with a remainder of 65.
The next digit of our result is 3. 
Result so far: 63.0
Subtracting 240 from 305 leaves us with 65.
Grab the next digit (5) from the dividend, add it to 65, then carry on: 655 / 80

On to step 5:
80 goes into 655 8 times with a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 638.0
The remainder is 15 after subtracting 640 from 655.
Take the next digit (2) from the dividend and append it to 15, then repeat: 152 / 80

Let's proceed to step 6:
If we divide 152 by 80, we get 1 and a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 6381.0
If we take 80 away from 152, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 7:
80 goes into 720 9 times with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 6381.9
Subtracting 720 from 720 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:
When dividing 0 by 80, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6381.9
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.

Advancing to step 9:
80 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6381.9
If we take 0 away from 0, we end up 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.

In conclusion, the division gives 6381.9 with a balance of 0.0.