We look at the division of 33882297 by 353 
Our goal is to divide 33882297 by 353.

Let's proceed to step 1:
353 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 353

Going ahead to step 2:
353 goes into 33 0 times with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Fetch the next digit (8) from the dividend, attach it to 33 and continue: 338 / 353

On to step 3:
The number 353 fits into 338 0 times, leaving a remainder of 338.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 338, we get 338.
Fetch the next digit (8) from the dividend, attach it to 338 and continue: 3388 / 353

Moving on to step 4:
If we divide 3388 by 353, we get 9 and a remainder of 211.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 3177 from 3388 and we're left with 211.
Fetch the next digit (2) from the dividend, attach it to 211 and continue: 2112 / 353

Going ahead to step 5:
The number 353 fits into 2112 5 times, leaving a remainder of 347.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
If we subtract 1765 from 2112, we get 347.
Fetch the next digit (2) from the dividend, attach it to 347 and continue: 3472 / 353

Advancing to step 6:
3472 divided by 353 is 9 with a remainder of 295.
The number 9 becomes the next digit in our result. 
Result so far: 959.0
If we take 3177 away from 3472, we end up with 295.
Include the next digit (9) from the dividend after 295, then repeat: 2959 / 353

Going ahead to step 7:
The number 353 fits into 2959 8 times, leaving a remainder of 135.
Record the quotient 8 as the next digit in the result. 
Result so far: 9598.0
If we take 2824 away from 2959, we end up with 135.
Fetch the next digit (7) from the dividend, attach it to 135 and continue: 1357 / 353

Advancing to step 8:
353 can be fit into 1357 3 times, resulting in a remainder of 298.
Put 3 as the next digit of the answer. 
Result so far: 95983.0
The remainder is 298 after subtracting 1059 from 1357.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

On to step 9:
The number 353 fits into 2980 8 times, leaving a remainder of 156.
Use 8 as the next digit of our solution. 
Result so far: 95983.8
The remainder is 156 after subtracting 2824 from 2980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Advancing to step 10:
353 can be fit into 1560 4 times, resulting in a remainder of 148.
Use 4 as the next digit of our solution. 
Result so far: 95983.84
Subtracting 1412 from 1560 leaves us with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Moving on to step 11:
1480 divided by 353 is 4 with a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 95983.844
Deduct 1412 from 1480 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

After the division, we end up with 95983.844 and a remainder of 0.0068.