We look at the division of 871281 by 43 
We want to divide 871281 by 43.

Advancing to step 1:
8 divided by 43 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 43

Advancing to step 2:
87 divided by 43 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 86 from 87, we get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 43

Step 3:
43 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we subtract 0 from 11, we get 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 43

Let's proceed to step 4:
43 goes into 112 2 times with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 202.0
Subtracting 86 from 112 leaves us with 26.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 43

Step 5:
43 goes into 268 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 2026.0
If we take 258 away from 268, we end up with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 43

On to step 6:
If we divide 101 by 43, we get 2 and a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 20262.0
Deduct 86 from 101 and we're left 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.

Step 7:
43 can be fit into 150 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 20262.3
If we subtract 129 from 150, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 8:
If we divide 210 by 43, we get 4 and a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 20262.34
Subtract 172 from 210 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 9:
43 goes into 380 8 times with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 20262.348
Subtract 344 from 380 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
If we divide 360 by 43, we get 8 and a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 20262.3488
If we take 344 away from 360, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 20262.3488 with a remaining 0.00016.