We look at the division of 14271 by 16 
Our goal is to divide 14271 by 16.

Let's proceed to step 1:
1 divided by 16 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 16

Let's proceed to step 2:
If we divide 14 by 16, we get 0 and a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 16

Advancing to step 3:
16 can be fit into 142 8 times, resulting in a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 14 after subtracting 128 from 142.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 16

Step 4:
16 can be fit into 147 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
The remainder is 3 after subtracting 144 from 147.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 16

Advancing to step 5:
16 can be fit into 31 1 times, resulting in a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 891.0
Subtract 16 from 31 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 6:
If we divide 150 by 16, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 891.9
The remainder is 6 after subtracting 144 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
When dividing 60 by 16, we get 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 891.93
Deduct 48 from 60 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.

Moving on to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 891.937
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
If we divide 80 by 16, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 891.9375
If we take 80 away from 80, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 891.9375
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 891.9375
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 891.9375 with a remainder of 0.0.