We look at the division of 85566 by 99 
Our goal is to divide 85566 by 99.

Let's proceed to step 1:
If we divide 8 by 99, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 99

Advancing to step 2:
The number 99 fits into 85 0 times, leaving a remainder of 85.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 85, we get 85.
Include the next digit (5) from the dividend after 85, then repeat: 855 / 99

Let's proceed to step 3:
The number 99 fits into 855 8 times, leaving a remainder of 63.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 792 from 855 to get 63.
Include the next digit (6) from the dividend after 63, then repeat: 636 / 99

On to step 4:
When dividing 636 by 99, we get 6 with a remainder of 42.
Write down 6 as next digit of the result. 
Result so far: 86.0
Subtracting 594 from 636 leaves us with 42.
Bring next digit (6) of the dividend behind the 42 and repeat the process: 426 / 99

Step 5:
99 can be fit into 426 4 times, resulting in a remainder of 30.
The next digit of our result is 4. 
Result so far: 864.0
Subtract 396 from 426 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 6:
99 goes into 300 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 864.3
If we subtract 297 from 300, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
When dividing 30 by 99, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 864.3
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
If we divide 300 by 99, we get 3 and a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 864.303
The remainder is 3 after subtracting 297 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
If we divide 30 by 99, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 864.303
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
99 can be fit into 300 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 864.30303
Subtracting 297 from 300 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
99 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 864.30303
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
The number 99 fits into 300 3 times, leaving a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 864.3030303
If we subtract 297 from 300, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
When dividing 30 by 99, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 864.3030303
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 864.3030303, and the remainder is 3e-08.