We're dividing 43871 by 2 
Our goal is to divide 43871 by 2.

Step 1:
If we divide 4 by 2, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 4 away from 4, we end up with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 2

Step 2:
If we divide 3 by 2, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 21.0
Deduct 2 from 3 and we're left with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 2

Let's proceed to step 3:
2 goes into 18 9 times with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 219.0
The remainder is 0 after subtracting 18 from 18.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 2

Moving on to step 4:
The number 2 fits into 7 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 2193.0
If we subtract 6 from 7, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 2

On to step 5:
2 goes into 11 5 times with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 21935.0
Deduct 10 from 11 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
2 can be fit into 10 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 21935.5
Subtracting 10 from 10 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.

On to step 7:
When dividing 0 by 2, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 21935.5
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 8:
0 divided by 2 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 21935.5
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.

The final result is 21935.5 with a remainder of 0.0.