We're dividing 753003 by 88 
We want to divide 753003 by 88.

Advancing to step 1:
When dividing 7 by 88, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 88

Let's proceed to step 2:
88 goes into 75 0 times with a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Take the next digit (3) from the dividend and append it to 75, then repeat: 753 / 88

Moving on to step 3:
When dividing 753 by 88, we get 8 with a remainder of 49.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 704 from 753 to get 49.
Fetch the next digit (0) from the dividend, attach it to 49 and continue: 490 / 88

On to step 4:
88 can be fit into 490 5 times, resulting in a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 85.0
Subtracting 440 from 490 leaves us with 50.
Bring next digit (0) of the dividend behind the 50 and repeat the process: 500 / 88

Step 5:
500 divided by 88 is 5 with a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 855.0
If we take 440 away from 500, we end up with 60.
Fetch the next digit (3) from the dividend, attach it to 60 and continue: 603 / 88

Advancing to step 6:
The number 88 fits into 603 6 times, leaving a remainder of 75.
Record the quotient 6 as the next digit in the result. 
Result so far: 8556.0
If we subtract 528 from 603, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 7:
750 divided by 88 is 8 with a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 8556.8
Subtract 704 from 750 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
88 goes into 460 5 times with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 8556.85
If we subtract 440 from 460, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
88 goes into 200 2 times with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 8556.852
The remainder is 24 after subtracting 176 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
88 goes into 240 2 times with a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 8556.8522
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 final result is 8556.8522 with a remainder of 0.00064.