We're dividing 557039 by 66 
We want to divide 557039 by 66.

Moving on to step 1:
5 divided by 66 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 66

Step 2:
The number 66 fits into 55 0 times, leaving a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Fetch the next digit (7) from the dividend, attach it to 55 and continue: 557 / 66

Step 3:
When dividing 557 by 66, we get 8 with a remainder of 29.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 528 from 557 leaves us with 29.
Fetch the next digit (0) from the dividend, attach it to 29 and continue: 290 / 66

Let's proceed to step 4:
290 divided by 66 is 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
If we take 264 away from 290, we end up with 26.
Take the next digit (3) from the dividend and append it to 26, then repeat: 263 / 66

Moving on to step 5:
263 divided by 66 is 3 with a remainder of 65.
Use 3 as the next digit of our solution. 
Result so far: 843.0
The remainder is 65 after subtracting 198 from 263.
Grab the next digit (9) from the dividend, add it to 65, then carry on: 659 / 66

Moving on to step 6:
66 goes into 659 9 times with a remainder of 65.
The next digit of our result is 9. 
Result so far: 8439.0
The remainder is 65 after subtracting 594 from 659.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 7:
650 divided by 66 is 9 with a remainder of 56.
The next digit of our result is 9. 
Result so far: 8439.9
Deduct 594 from 650 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
66 goes into 560 8 times with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 8439.98
Subtracting 528 from 560 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
The number 66 fits into 320 4 times, leaving a remainder of 56.
The next digit of our result is 4. 
Result so far: 8439.984
The remainder is 56 after subtracting 264 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 10:
If we divide 560 by 66, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 8439.9848
The remainder is 32 after subtracting 528 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
When dividing 320 by 66, we get 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 8439.98484
Subtracting 264 from 320 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 12:
560 divided by 66 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 8439.984848
If we take 528 away from 560, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 13:
If we divide 320 by 66, we get 4 and a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 8439.9848484
Subtract 264 from 320 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 14:
If we divide 560 by 66, we get 8 and a remainder of 32.
The next digit of our result is 8. 
Result so far: 8439.98484848
Deduct 528 from 560 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 8439.98484848 with a balance of 3.2e-08.