We're dividing 31414 by 33 
Our goal is to divide 31414 by 33.

Advancing to step 1:
If we divide 3 by 33, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 33

On to step 2:
33 goes into 31 0 times with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 33

Let's proceed to step 3:
314 divided by 33 is 9 with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 297 from 314 and we're left with 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 33

On to step 4:
When dividing 171 by 33, we get 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 95.0
Subtract 165 from 171 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 33

Let's proceed to step 5:
When dividing 64 by 33, we get 1 with a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 951.0
Subtract 33 from 64 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.

Going ahead to step 6:
33 can be fit into 310 9 times, resulting in a remainder of 13.
The next digit of our result is 9. 
Result so far: 951.9
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.

Let's proceed to step 7:
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: 951.93
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.

Step 8:
33 can be fit into 310 9 times, resulting in a remainder of 13.
The next digit of our result is 9. 
Result so far: 951.939
The remainder is 13 after subtracting 297 from 310.
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:
33 can be fit into 130 3 times, resulting in a remainder of 31.
The next digit of our result is 3. 
Result so far: 951.9393
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.

Let's proceed to step 10:
33 can be fit into 310 9 times, resulting in a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 951.93939
If we subtract 297 from 310, we 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 11:
The number 33 fits into 130 3 times, leaving a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 951.939393
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.

Advancing 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: 951.9393939
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.

Moving on to step 13:
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: 951.93939393
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.

The final result is 951.93939393 with a remainder of 3.1e-08.