Let's divide 580623 by 66
Our goal is to divide 580623 by 66.

Advancing to step 1:
5 divided by 66 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 66

On to step 2:
When dividing 58 by 66, we get 0 with 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.
Fetch the next digit (0) from the dividend, attach it to 58 and continue: 580 / 66

Advancing to step 3:
66 can be fit into 580 8 times, resulting in 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.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 66

Moving on to step 4:
66 goes into 526 7 times with a remainder of 64.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
If we subtract 462 from 526, we get 64.
Take the next digit (2) from the dividend and append it to 64, then repeat: 642 / 66

Going ahead to step 5:
642 divided by 66 is 9 with a remainder of 48.
Write down 9 as next digit of the result. 
Result so far: 879.0
Deduct 594 from 642 and we're left with 48.
Include the next digit (3) from the dividend after 48, then repeat: 483 / 66

Advancing to step 6:
When dividing 483 by 66, we get 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 8797.0
If we subtract 462 from 483, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
When dividing 210 by 66, we get 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 8797.3
If we take 198 away from 210, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
120 divided by 66 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 8797.31
Subtract 66 from 120 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
The number 66 fits into 540 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 8797.318
Deduct 528 from 540 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
120 divided by 66 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 8797.3181
If we take 66 away from 120, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 11:
66 goes into 540 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 8797.31818
Subtracting 528 from 540 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
When dividing 120 by 66, we get 1 with a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 8797.318181
If we subtract 66 from 120, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 13:
If we divide 540 by 66, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 8797.3181818
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
The number 66 fits into 120 1 times, leaving a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 8797.31818181
Subtracting 66 from 120 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final outcome is 8797.31818181, with a leftover of 5.4e-08.