We look at the division of 314667 by 33 
Our goal is to divide 314667 by 33.

Advancing to step 1:
The number 33 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 33

Let's proceed to step 2:
When dividing 31 by 33, we get 0 with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 33

On to step 3:
The number 33 fits into 314 9 times, leaving a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 297 from 314 leaves us with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 33

Step 4:
When dividing 176 by 33, we get 5 with a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 95.0
Subtract 165 from 176 to get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 33

Let's proceed to step 5:
If we divide 116 by 33, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 953.0
Subtracting 99 from 116 leaves us with 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 33

Step 6:
If we divide 177 by 33, we get 5 and a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 9535.0
Subtract 165 from 177 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
33 can be fit into 120 3 times, resulting in a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 9535.3
If we take 99 away from 120, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
If we divide 210 by 33, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 9535.36
Deduct 198 from 210 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
If we divide 120 by 33, we get 3 and a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 9535.363
Deduct 99 from 120 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
The number 33 fits into 210 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 9535.3636
The remainder is 12 after subtracting 198 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
If we divide 120 by 33, we get 3 and a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 9535.36363
If we take 99 away from 120, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 12:
33 can be fit into 210 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 9535.363636
If we subtract 198 from 210, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
When dividing 120 by 33, we get 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 9535.3636363
If we take 99 away from 120, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 14:
The number 33 fits into 210 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 9535.36363636
If we take 198 away from 210, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 9535.36363636 and a remainder of 1.2e-08.