We look at the division of 666081 by 88 
We're looking to find how many times 88 goes into 666081.

On to step 1:
6 divided by 88 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 88

Step 2:
66 divided by 88 is 0 with a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Append the next digit (6) from the dividend to 66 and continue with: 666 / 88

Going ahead to step 3:
666 divided by 88 is 7 with a remainder of 50.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 50 after subtracting 616 from 666.
Include the next digit (0) from the dividend after 50, then repeat: 500 / 88

Moving on to step 4:
500 divided by 88 is 5 with a remainder of 60.
The next digit of our result is 5. 
Result so far: 75.0
Deduct 440 from 500 and we're left with 60.
Include the next digit (8) from the dividend after 60, then repeat: 608 / 88

Going ahead to step 5:
608 divided by 88 is 6 with a remainder of 80.
The number 6 becomes the next digit in our result. 
Result so far: 756.0
Subtract 528 from 608 to get 80.
Bring next digit (1) of the dividend behind the 80 and repeat the process: 801 / 88

Advancing to step 6:
88 can be fit into 801 9 times, resulting in a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 7569.0
If we take 792 away from 801, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
88 goes into 90 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 7569.1
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
20 divided by 88 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 7569.1
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 88 fits into 200 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 7569.102
If we subtract 176 from 200, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
88 can be fit into 240 2 times, resulting in a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 7569.1022
Subtract 176 from 240 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 7569.1022, and the remainder is 0.00064.