We're dividing 581080 by 87 
We want to figure out the number of times 581080 can be divided by 87.

Moving on to step 1:
87 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 87

Going ahead to step 2:
58 divided by 87 is 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Include the next digit (1) from the dividend after 58, then repeat: 581 / 87

Advancing to step 3:
The number 87 fits into 581 6 times, leaving a remainder of 59.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 522 from 581 and we're left with 59.
Take the next digit (0) from the dividend and append it to 59, then repeat: 590 / 87

Advancing to step 4:
When dividing 590 by 87, we get 6 with a remainder of 68.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we subtract 522 from 590, we get 68.
Include the next digit (8) from the dividend after 68, then repeat: 688 / 87

Moving on to step 5:
If we divide 688 by 87, we get 7 and a remainder of 79.
Use 7 as the next digit of our solution. 
Result so far: 667.0
Subtracting 609 from 688 leaves us with 79.
Bring next digit (0) of the dividend behind the 79 and repeat the process: 790 / 87

Moving on to step 6:
The number 87 fits into 790 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 6679.0
Subtracting 783 from 790 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
87 goes into 70 0 times with a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 6679.0
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 8:
If we divide 700 by 87, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 6679.08
If we subtract 696 from 700, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
87 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6679.08
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
87 goes into 400 4 times with a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 6679.0804
If we subtract 348 from 400, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 11:
When dividing 520 by 87, we get 5 with a remainder of 85.
Record the quotient 5 as the next digit in the result. 
Result so far: 6679.08045
The remainder is 85 after subtracting 435 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Moving on to step 12:
87 goes into 850 9 times with a remainder of 67.
Use 9 as the next digit of our solution. 
Result so far: 6679.080459
Deduct 783 from 850 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 13:
87 goes into 670 7 times with a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 6679.0804597
The remainder is 61 after subtracting 609 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 14:
87 can be fit into 610 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 6679.08045977
Deduct 609 from 610 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 6679.08045977 with a balance of 1e-09.