580744 ÷ 66 
Our goal is to divide 580744 by 66.

Going ahead to step 1:
66 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 66

On to step 2:
The number 66 fits into 58 0 times, leaving a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Bring next digit (0) of the dividend behind the 58 and repeat the process: 580 / 66

Going ahead to step 3:
If we divide 580 by 66, we get 8 and a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 528 from 580, we get 52.
Append the next digit (7) from the dividend to 52 and continue with: 527 / 66

Moving on to step 4:
66 can be fit into 527 7 times, resulting in a remainder of 65.
The next digit of our result is 7. 
Result so far: 87.0
Deduct 462 from 527 and we're left with 65.
Include the next digit (4) from the dividend after 65, then repeat: 654 / 66

On to step 5:
If we divide 654 by 66, we get 9 and a remainder of 60.
Record the quotient 9 as the next digit in the result. 
Result so far: 879.0
Subtract 594 from 654 to get 60.
Bring next digit (4) of the dividend behind the 60 and repeat the process: 604 / 66

Let's proceed to step 6:
The number 66 fits into 604 9 times, leaving a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 8799.0
Deduct 594 from 604 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
If we divide 100 by 66, we get 1 and a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 8799.1
If we take 66 away from 100, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8799.15
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
If we divide 100 by 66, we get 1 and a remainder of 34.
The next digit of our result is 1. 
Result so far: 8799.151
The remainder is 34 after subtracting 66 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 10:
66 can be fit into 340 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8799.1515
Subtract 330 from 340 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
100 divided by 66 is 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 8799.15151
Subtracting 66 from 100 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 12:
When dividing 340 by 66, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 8799.151515
Deduct 330 from 340 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
66 can be fit into 100 1 times, resulting in a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 8799.1515151
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8799.15151515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 8799.15151515 with a balance of 1e-08.