We look at the division of 122871 by 16 
We want to figure out the number of times 122871 can be divided by 16.

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
Deduct 0 from 1 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 16

Moving on to step 2:
12 divided by 16 is 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 16

Step 3:
16 goes into 122 7 times with a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 112 from 122, we get 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 16

Step 4:
If we divide 108 by 16, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 76.0
The remainder is 12 after subtracting 96 from 108.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 16

Moving on to step 5:
The number 16 fits into 127 7 times, leaving a remainder of 15.
The next digit of our result is 7. 
Result so far: 767.0
If we take 112 away from 127, we end up with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 16

Let's proceed to step 6:
16 can be fit into 151 9 times, resulting in a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 7679.0
If we subtract 144 from 151, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
16 goes into 70 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 7679.4
Deduct 64 from 70 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.

Step 8:
When dividing 60 by 16, we get 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 7679.43
Subtracting 48 from 60 leaves us 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.

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: 7679.437
Subtracting 112 from 120 leaves us 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.

Going ahead to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 7679.4375
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.

Moving on to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 7679.4375
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 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7679.4375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 7679.4375 and a remainder of 0.0.