14279 ÷ 33 
Our goal is to divide 14279 by 33.

Moving on to step 1:
1 divided by 33 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 33

Step 2:
14 divided by 33 is 0 with a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Bring next digit (2) of the dividend behind the 14 and repeat the process: 142 / 33

Advancing to step 3:
If we divide 142 by 33, we get 4 and a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 132 from 142, we get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 33

Step 4:
The number 33 fits into 107 3 times, leaving a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 43.0
If we take 99 away from 107, we end up with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 33

Step 5:
The number 33 fits into 89 2 times, leaving a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 432.0
Deduct 66 from 89 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 6:
When dividing 230 by 33, we get 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 432.6
Deduct 198 from 230 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 7:
320 divided by 33 is 9 with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 432.69
The remainder is 23 after subtracting 297 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
The number 33 fits into 230 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 432.696
Subtract 198 from 230 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
320 divided by 33 is 9 with a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 432.6969
If we subtract 297 from 320, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 10:
33 goes into 230 6 times with a remainder of 32.
The next digit of our result is 6. 
Result so far: 432.69696
If we take 198 away from 230, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
When dividing 320 by 33, we get 9 with a remainder of 23.
The next digit of our result is 9. 
Result so far: 432.696969
The remainder is 23 after subtracting 297 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
33 goes into 230 6 times with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 432.6969696
If we subtract 198 from 230, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
The number 33 fits into 320 9 times, leaving a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 432.69696969
Subtracting 297 from 320 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

After the division, we end up with 432.69696969 and a remainder of 2.3e-08.