We're dividing 353410 by 33 
We want to figure out the number of times 353410 can be divided by 33.

Advancing to step 1:
33 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 33

Going ahead to step 2:
33 can be fit into 35 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 33 from 35 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 33

Let's proceed to step 3:
33 goes into 23 0 times with a remainder of 23.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 23 and we're left with 23.
Grab the next digit (4) from the dividend, add it to 23, then carry on: 234 / 33

Step 4:
234 divided by 33 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 107.0
Subtract 231 from 234 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 33

Let's proceed to step 5:
31 divided by 33 is 0 with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 1070.0
Subtract 0 from 31 to get 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 33

Let's proceed to step 6:
310 divided by 33 is 9 with a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 10709.0
If we take 297 away from 310, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 33, we get 3 with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 10709.3
If we subtract 99 from 130, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 8:
When dividing 310 by 33, we get 9 with a remainder of 13.
The next digit of our result is 9. 
Result so far: 10709.39
Deduct 297 from 310 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 9:
If we divide 130 by 33, we get 3 and a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 10709.393
Subtracting 99 from 130 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 10:
33 goes into 310 9 times with a remainder of 13.
The next digit of our result is 9. 
Result so far: 10709.3939
Deduct 297 from 310 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 11:
130 divided by 33 is 3 with a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 10709.39393
If we subtract 99 from 130, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
When dividing 310 by 33, we get 9 with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 10709.393939
Subtracting 297 from 310 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 13:
33 can be fit into 130 3 times, resulting in a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 10709.3939393
Subtract 99 from 130 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 14:
When dividing 310 by 33, we get 9 with a remainder of 13.
The next digit of our result is 9. 
Result so far: 10709.39393939
Subtracting 297 from 310 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 10709.39393939 with a balance of 1.3e-08.