We're dividing 566556 by 66 
Our goal is to divide 566556 by 66.

Moving on to step 1:
When dividing 5 by 66, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 66

On to step 2:
When dividing 56 by 66, we get 0 with a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Take the next digit (6) from the dividend and append it to 56, then repeat: 566 / 66

Step 3:
When dividing 566 by 66, we get 8 with a remainder of 38.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 528 away from 566, we end up with 38.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 66

On to step 4:
The number 66 fits into 385 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtracting 330 from 385 leaves us with 55.
Bring next digit (5) of the dividend behind the 55 and repeat the process: 555 / 66

Going ahead to step 5:
66 goes into 555 8 times with a remainder of 27.
The number 8 becomes the next digit in our result. 
Result so far: 858.0
If we take 528 away from 555, we end up with 27.
Take the next digit (6) from the dividend and append it to 27, then repeat: 276 / 66

On to step 6:
66 goes into 276 4 times with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 8584.0
Deduct 264 from 276 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.

Advancing to step 7:
120 divided by 66 is 1 with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 8584.1
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 8:
If we divide 540 by 66, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 8584.18
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.

Step 9:
66 can be fit into 120 1 times, resulting in a remainder of 54.
The next digit of our result is 1. 
Result so far: 8584.181
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.

Step 10:
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: 8584.1818
Subtract 528 from 540 to 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.

Moving on to step 11:
120 divided by 66 is 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 8584.18181
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 12:
The number 66 fits into 540 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 8584.181818
If we take 528 away from 540, 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.

On to step 13:
When dividing 120 by 66, we get 1 with a remainder of 54.
The next digit of our result is 1. 
Result so far: 8584.1818181
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.

Step 14:
66 goes into 540 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 8584.18181818
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.

The quotient of the division is 8584.18181818, and the remainder is 1.2e-08.