We're dividing 871271 by 16 
We want to divide 871271 by 16.

On to step 1:
If we divide 8 by 16, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 16

Going ahead to step 2:
If we divide 87 by 16, we get 5 and a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 7 after subtracting 80 from 87.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 16

On to step 3:
The number 16 fits into 71 4 times, leaving a remainder of 7.
The next digit of our result is 4. 
Result so far: 54.0
Subtract 64 from 71 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 16

Let's proceed to step 4:
When dividing 72 by 16, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 544.0
The remainder is 8 after subtracting 64 from 72.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 16

On to step 5:
The number 16 fits into 87 5 times, leaving a remainder of 7.
The next digit of our result is 5. 
Result so far: 5445.0
Subtract 80 from 87 to get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 16

Advancing to step 6:
16 can be fit into 71 4 times, resulting in a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 54454.0
Subtract 64 from 71 to 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.

Moving on to step 7:
16 can be fit into 70 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 54454.4
Subtracting 64 from 70 leaves us 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.

Let's proceed to step 8:
When dividing 60 by 16, we get 3 with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 54454.43
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.

Going ahead to step 9:
16 goes into 120 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 54454.437
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.

Let's proceed to step 10:
16 goes into 80 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 54454.4375
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.

Advancing to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 54454.4375
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 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 54454.4375
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 quotient of the division is 54454.4375, and the remainder is 0.0.