We're dividing 314404 by 33 
We want to figure out the number of times 314404 can be divided by 33.

Advancing to step 1:
33 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 33

Step 2:
The number 33 fits into 31 0 times, leaving a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 33

Let's proceed to step 3:
The number 33 fits into 314 9 times, leaving a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 297 from 314 to get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 33

Moving on to step 4:
33 goes into 174 5 times with a remainder of 9.
The next digit of our result is 5. 
Result so far: 95.0
If we take 165 away from 174, we end up with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 33

On to step 5:
33 can be fit into 90 2 times, resulting in a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 952.0
Subtract 66 from 90 to get 24.
Fetch the next digit (4) from the dividend, attach it to 24 and continue: 244 / 33

Let's proceed to step 6:
When dividing 244 by 33, we get 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 9527.0
If we take 231 away from 244, 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.

Going ahead to step 7:
When dividing 130 by 33, we get 3 with a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 9527.3
The remainder is 31 after subtracting 99 from 130.
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 8:
The number 33 fits into 310 9 times, leaving a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 9527.39
Subtract 297 from 310 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
130 divided by 33 is 3 with a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 9527.393
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.

Advancing to step 10:
If we divide 310 by 33, we get 9 and a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 9527.3939
Subtract 297 from 310 to get 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 11:
The number 33 fits into 130 3 times, leaving a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 9527.39393
Deduct 99 from 130 and we're left 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.

Let's proceed to 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: 9527.393939
Subtract 297 from 310 to get 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 13:
The number 33 fits into 130 3 times, leaving a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 9527.3939393
If we take 99 away from 130, we end up 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 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: 9527.39393939
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.

Our division results in 9527.39393939 with a remaining 1.3e-08.