We're dividing 557063 by 66 
We're looking to find how many times 66 goes into 557063.

Advancing to step 1:
The number 66 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 66

Moving on to step 2:
66 can be fit into 55 0 times, resulting in a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Append the next digit (7) from the dividend to 55 and continue with: 557 / 66

Moving on to 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
Deduct 528 from 557 and we're left with 29.
Grab the next digit (0) from the dividend, add it to 29, then carry on: 290 / 66

Let's proceed to step 4:
If we divide 290 by 66, we get 4 and a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we subtract 264 from 290, we get 26.
Bring next digit (6) of the dividend behind the 26 and repeat the process: 266 / 66

Let's proceed to step 5:
266 divided by 66 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 844.0
The remainder is 2 after subtracting 264 from 266.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 66

On to step 6:
23 divided by 66 is 0 with a remainder of 23.
Put 0 as the next digit of the answer. 
Result so far: 8440.0
Subtract 0 from 23 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
The number 66 fits into 230 3 times, leaving a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 8440.3
Subtracting 198 from 230 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.

Let's proceed to step 8:
The number 66 fits into 320 4 times, leaving a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 8440.34
If we subtract 264 from 320, we 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.

Let's proceed to step 9:
When dividing 560 by 66, we get 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 8440.348
Subtract 528 from 560 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
The number 66 fits into 320 4 times, leaving a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 8440.3484
If we subtract 264 from 320, we 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.

Step 11:
66 can be fit into 560 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 8440.34848
If we subtract 528 from 560, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
320 divided by 66 is 4 with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 8440.348484
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.

Advancing to step 13:
560 divided by 66 is 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 8440.3484848
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.

Moving on to step 14:
66 goes into 320 4 times with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 8440.34848484
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.

The final result is 8440.34848484 with a remainder of 5.6e-08.