We're dividing 12879 by 16 
Let's see how many times 16 fits into 12879.

On to step 1:
1 divided by 16 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 16

Moving on to step 2:
16 can be fit into 12 0 times, resulting in a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 16

Moving on to step 3:
16 goes into 128 8 times with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 128 from 128 to get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 16

Step 4:
16 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
Subtract 0 from 7 to get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 16

Advancing to step 5:
16 can be fit into 79 4 times, resulting in a remainder of 15.
Record the quotient 4 as the next digit in the result. 
Result so far: 804.0
Subtracting 64 from 79 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 6:
The number 16 fits into 150 9 times, leaving a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 804.9
Deduct 144 from 150 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
When dividing 60 by 16, we get 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 804.93
If we subtract 48 from 60, 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.

On to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 804.937
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 804.9375
Subtracting 80 from 80 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.

Going ahead to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 804.9375
Subtract 0 from 0 to 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.

Step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 804.9375
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.

The final outcome is 804.9375, with a leftover of 0.0.