We're dividing 355311 by 88 
We're looking to find how many times 88 goes into 355311.

Going ahead to step 1:
The number 88 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 88

On to step 2:
88 can be fit into 35 0 times, resulting in a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 88

Going ahead to step 3:
355 divided by 88 is 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 352 from 355 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 88

Let's proceed to step 4:
33 divided by 88 is 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 40.0
Subtract 0 from 33 to get 33.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 88

On to step 5:
88 goes into 331 3 times with a remainder of 67.
The next digit of our result is 3. 
Result so far: 403.0
Subtracting 264 from 331 leaves us with 67.
Bring next digit (1) of the dividend behind the 67 and repeat the process: 671 / 88

Moving on to step 6:
88 goes into 671 7 times with a remainder of 55.
Put 7 as the next digit of the answer. 
Result so far: 4037.0
If we subtract 616 from 671, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
The number 88 fits into 550 6 times, leaving a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 4037.6
If we take 528 away from 550, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
When dividing 220 by 88, we get 2 with a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 4037.62
Subtract 176 from 220 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
When dividing 440 by 88, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 4037.625
Subtracting 440 from 440 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
When dividing 0 by 88, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4037.625
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
If we divide 0 by 88, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4037.625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 4037.625 with a balance of 0.0.