754679 divided by 88 
Our goal is to divide 754679 by 88.

Advancing to step 1:
7 divided by 88 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 88

On to step 2:
The number 88 fits into 75 0 times, leaving a remainder of 75.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 75, we end up with 75.
Take the next digit (4) from the dividend and append it to 75, then repeat: 754 / 88

Moving on to step 3:
88 can be fit into 754 8 times, resulting in a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 50 after subtracting 704 from 754.
Grab the next digit (6) from the dividend, add it to 50, then carry on: 506 / 88

Moving on to step 4:
When dividing 506 by 88, we get 5 with a remainder of 66.
Put 5 as the next digit of the answer. 
Result so far: 85.0
If we subtract 440 from 506, we get 66.
Fetch the next digit (7) from the dividend, attach it to 66 and continue: 667 / 88

Advancing to step 5:
If we divide 667 by 88, we get 7 and a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 857.0
If we take 616 away from 667, we end up with 51.
Include the next digit (9) from the dividend after 51, then repeat: 519 / 88

On to step 6:
88 goes into 519 5 times with a remainder of 79.
The number 5 becomes the next digit in our result. 
Result so far: 8575.0
If we take 440 away from 519, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 7:
The number 88 fits into 790 8 times, leaving a remainder of 86.
The next digit of our result is 8. 
Result so far: 8575.8
Deduct 704 from 790 and we're left 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.

Moving on to step 8:
When dividing 860 by 88, we get 9 with a remainder of 68.
Record the quotient 9 as the next digit in the result. 
Result so far: 8575.89
Subtract 792 from 860 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
88 goes into 680 7 times with a remainder of 64.
Use 7 as the next digit of our solution. 
Result so far: 8575.897
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.

Advancing to step 10:
The number 88 fits into 640 7 times, leaving a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 8575.8977
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.

After the division, we end up with 8575.8977 and a remainder of 0.00024.