We look at the division of 665630 by 88 
We want to figure out the number of times 665630 can be divided by 88.

Moving on to step 1:
When dividing 6 by 88, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 88

On to step 2:
66 divided by 88 is 0 with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 66 after subtracting 0 from 66.
Take the next digit (5) from the dividend and append it to 66, then repeat: 665 / 88

Advancing to step 3:
88 goes into 665 7 times with a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 616 away from 665, we end up with 49.
Grab the next digit (6) from the dividend, add it to 49, then carry on: 496 / 88

Moving on to step 4:
The number 88 fits into 496 5 times, leaving a remainder of 56.
Put 5 as the next digit of the answer. 
Result so far: 75.0
If we take 440 away from 496, we end up with 56.
Take the next digit (3) from the dividend and append it to 56, then repeat: 563 / 88

Let's proceed to step 5:
88 can be fit into 563 6 times, resulting in a remainder of 35.
The number 6 becomes the next digit in our result. 
Result so far: 756.0
Subtracting 528 from 563 leaves us with 35.
Fetch the next digit (0) from the dividend, attach it to 35 and continue: 350 / 88

Going ahead to step 6:
350 divided by 88 is 3 with a remainder of 86.
Write down 3 as next digit of the result. 
Result so far: 7563.0
Subtracting 264 from 350 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 7:
860 divided by 88 is 9 with a remainder of 68.
Put 9 as the next digit of the answer. 
Result so far: 7563.9
Subtracting 792 from 860 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
If we divide 680 by 88, we get 7 and a remainder of 64.
Record the quotient 7 as the next digit in the result. 
Result so far: 7563.97
Subtract 616 from 680 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.

Moving on to step 9:
The number 88 fits into 640 7 times, leaving a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 7563.977
The remainder is 24 after subtracting 616 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 7563.977 with a remainder of 0.0024.