We look at the division of 341088 by 99 
We want to divide 341088 by 99.

On to step 1:
The number 99 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 99

On to step 2:
If we divide 34 by 99, we get 0 and a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 99

On to step 3:
When dividing 341 by 99, we get 3 with a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 297 from 341, we get 44.
Bring next digit (0) of the dividend behind the 44 and repeat the process: 440 / 99

On to step 4:
The number 99 fits into 440 4 times, leaving a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 34.0
If we take 396 away from 440, we end up with 44.
Include the next digit (8) from the dividend after 44, then repeat: 448 / 99

On to step 5:
448 divided by 99 is 4 with a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 344.0
The remainder is 52 after subtracting 396 from 448.
Take the next digit (8) from the dividend and append it to 52, then repeat: 528 / 99

Moving on to step 6:
If we divide 528 by 99, we get 5 and a remainder of 33.
The next digit of our result is 5. 
Result so far: 3445.0
If we subtract 495 from 528, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
99 goes into 330 3 times with a remainder of 33.
The next digit of our result is 3. 
Result so far: 3445.3
If we subtract 297 from 330, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 8:
99 goes into 330 3 times with a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 3445.33
Subtracting 297 from 330 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 3445.33, and the remainder is 0.033.