We're dividing 721580 by 88 
Let's see how many times 88 fits into 721580.

Advancing to step 1:
The number 88 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 88

Let's proceed to step 2:
88 can be fit into 72 0 times, resulting in a remainder of 72.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 72, we end up with 72.
Grab the next digit (1) from the dividend, add it to 72, then carry on: 721 / 88

Step 3:
88 can be fit into 721 8 times, resulting in a remainder of 17.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 704 from 721 leaves us with 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 88

Moving on to step 4:
When dividing 175 by 88, we get 1 with a remainder of 87.
Use 1 as the next digit of our solution. 
Result so far: 81.0
If we take 88 away from 175, we end up with 87.
Take the next digit (8) from the dividend and append it to 87, then repeat: 878 / 88

Let's proceed to step 5:
878 divided by 88 is 9 with a remainder of 86.
Use 9 as the next digit of our solution. 
Result so far: 819.0
If we subtract 792 from 878, we get 86.
Append the next digit (0) from the dividend to 86 and continue with: 860 / 88

Let's proceed to step 6:
If we divide 860 by 88, we get 9 and a remainder of 68.
Write down 9 as next digit of the result. 
Result so far: 8199.0
Deduct 792 from 860 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 7:
680 divided by 88 is 7 with a remainder of 64.
Record the quotient 7 as the next digit in the result. 
Result so far: 8199.7
Subtract 616 from 680 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 8:
The number 88 fits into 640 7 times, leaving a remainder of 24.
The next digit of our result is 7. 
Result so far: 8199.77
The remainder is 24 after subtracting 616 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 8199.77 with a balance of 0.024.