We look at the division of 871586 by 43 
Our goal is to divide 871586 by 43.

Step 1:
43 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 43

Step 2:
87 divided by 43 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 86 from 87 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 43

Going ahead to step 3:
43 goes into 11 0 times with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Deduct 0 from 11 and we're left with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 43

Let's proceed to step 4:
When dividing 115 by 43, we get 2 with a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 202.0
The remainder is 29 after subtracting 86 from 115.
Take the next digit (8) from the dividend and append it to 29, then repeat: 298 / 43

Let's proceed to step 5:
The number 43 fits into 298 6 times, leaving a remainder of 40.
The next digit of our result is 6. 
Result so far: 2026.0
The remainder is 40 after subtracting 258 from 298.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 43

Advancing to step 6:
43 can be fit into 406 9 times, resulting in a remainder of 19.
Write down 9 as next digit of the result. 
Result so far: 20269.0
If we subtract 387 from 406, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
43 goes into 190 4 times with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 20269.4
Subtracting 172 from 190 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
If we divide 180 by 43, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 20269.44
Subtracting 172 from 180 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.

Our division results in 20269.44 with a remaining 0.008.