127863 divided by 16 
We're looking to find how many times 16 goes into 127863.

Let's proceed to step 1:
16 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 16

On to step 2:
16 goes into 12 0 times with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 16

Moving on to step 3:
When dividing 127 by 16, we get 7 with a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 15 after subtracting 112 from 127.
Grab the next digit (8) from the dividend, add it to 15, then carry on: 158 / 16

Step 4:
If we divide 158 by 16, we get 9 and a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 79.0
The remainder is 14 after subtracting 144 from 158.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 16

Let's proceed to step 5:
146 divided by 16 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 799.0
If we subtract 144 from 146, we get 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 16

On to step 6:
If we divide 23 by 16, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 7991.0
Subtracting 16 from 23 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
When dividing 70 by 16, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 7991.4
The remainder is 6 after subtracting 64 from 70.
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 8:
60 divided by 16 is 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 7991.43
Subtract 48 from 60 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.

Let's proceed to step 9:
120 divided by 16 is 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 7991.437
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.

On to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 7991.4375
Deduct 80 from 80 and we're left 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.

Let's proceed to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7991.4375
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.

Moving on to step 12:
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: 7991.4375
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.

In conclusion, the division gives 7991.4375 with a balance of 0.0.