We're dividing 581320 by 80 
We want to figure out the number of times 581320 can be divided by 80.

Advancing to step 1:
When dividing 5 by 80, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 80

On to step 2:
When dividing 58 by 80, we get 0 with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Take the next digit (1) from the dividend and append it to 58, then repeat: 581 / 80

On to step 3:
80 goes into 581 7 times with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 560 away from 581, we end up with 21.
Include the next digit (3) from the dividend after 21, then repeat: 213 / 80

Going ahead to step 4:
213 divided by 80 is 2 with a remainder of 53.
Write down 2 as next digit of the result. 
Result so far: 72.0
The remainder is 53 after subtracting 160 from 213.
Fetch the next digit (2) from the dividend, attach it to 53 and continue: 532 / 80

Moving on to step 5:
80 can be fit into 532 6 times, resulting in a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 726.0
Subtracting 480 from 532 leaves us with 52.
Append the next digit (0) from the dividend to 52 and continue with: 520 / 80

Let's proceed to step 6:
80 can be fit into 520 6 times, resulting in a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 7266.0
The remainder is 40 after subtracting 480 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
If we divide 400 by 80, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 7266.5
Deduct 400 from 400 and we're left 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 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: 7266.5
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.

Let's proceed to step 9:
If we divide 0 by 80, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 7266.5
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 7266.5 with a balance of 0.0.