We divide 14291 by 16
We want to divide 14291 by 16.

Advancing to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 16

Moving on to step 2:
If we divide 14 by 16, we get 0 and a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 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
Subtract 128 from 142 to get 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 16

Step 4:
If we divide 149 by 16, we get 9 and a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
Deduct 144 from 149 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 16

Advancing to step 5:
If we divide 51 by 16, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 893.0
Subtracting 48 from 51 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 6:
16 goes into 30 1 times with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 893.1
Deduct 16 from 30 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
16 can be fit into 140 8 times, resulting in a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 893.18
If we subtract 128 from 140, 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.

Advancing to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 893.187
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:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 893.1875
If we subtract 80 from 80, we get 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 10:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 893.1875
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.

Step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 893.1875
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 quotient of the division is 893.1875, and the remainder is 0.0.