We're dividing 753398 by 88 
Our goal is to divide 753398 by 88.

Moving on to step 1:
When dividing 7 by 88, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 88

Advancing to step 2:
When dividing 75 by 88, we get 0 with a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Bring next digit (3) of the dividend behind the 75 and repeat the process: 753 / 88

On to step 3:
88 can be fit into 753 8 times, resulting in a remainder of 49.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 704 from 753 to get 49.
Bring next digit (3) of the dividend behind the 49 and repeat the process: 493 / 88

Moving on to step 4:
The number 88 fits into 493 5 times, leaving a remainder of 53.
Write down 5 as next digit of the result. 
Result so far: 85.0
The remainder is 53 after subtracting 440 from 493.
Grab the next digit (9) from the dividend, add it to 53, then carry on: 539 / 88

Let's proceed to step 5:
If we divide 539 by 88, we get 6 and a remainder of 11.
The next digit of our result is 6. 
Result so far: 856.0
Subtract 528 from 539 to get 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 88

Step 6:
The number 88 fits into 118 1 times, leaving a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 8561.0
Subtracting 88 from 118 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.

Advancing to step 7:
88 goes into 300 3 times with a remainder of 36.
Write down 3 as next digit of the result. 
Result so far: 8561.3
Deduct 264 from 300 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
If we divide 360 by 88, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 8561.34
If we subtract 352 from 360, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
When dividing 80 by 88, we get 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 8561.34
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 10:
800 divided by 88 is 9 with a remainder of 8.
The next digit of our result is 9. 
Result so far: 8561.3409
Subtracting 792 from 800 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
88 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 8561.3409
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 12:
When dividing 800 by 88, we get 9 with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 8561.340909
If we take 792 away from 800, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
The number 88 fits into 80 0 times, leaving a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 8561.340909
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 14:
The number 88 fits into 800 9 times, leaving a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 8561.34090909
Deduct 792 from 800 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 8561.34090909, and the remainder is 8e-09.