We look at the division of 95440986 by 871 
We're looking to find how many times 871 goes into 95440986.

Going ahead to step 1:
If we divide 9 by 871, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 871

On to step 2:
The number 871 fits into 95 0 times, leaving a remainder of 95.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 95 after subtracting 0 from 95.
Append the next digit (4) from the dividend to 95 and continue with: 954 / 871

Step 3:
871 can be fit into 954 1 times, resulting in a remainder of 83.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 871 from 954 to get 83.
Append the next digit (4) from the dividend to 83 and continue with: 834 / 871

Advancing to step 4:
If we divide 834 by 871, we get 0 and a remainder of 834.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 834 after subtracting 0 from 834.
Include the next digit (0) from the dividend after 834, then repeat: 8340 / 871

Let's proceed to step 5:
871 can be fit into 8340 9 times, resulting in a remainder of 501.
Use 9 as the next digit of our solution. 
Result so far: 109.0
Subtracting 7839 from 8340 leaves us with 501.
Bring next digit (9) of the dividend behind the 501 and repeat the process: 5019 / 871

Going ahead to step 6:
When dividing 5019 by 871, we get 5 with a remainder of 664.
Put 5 as the next digit of the answer. 
Result so far: 1095.0
Subtract 4355 from 5019 to get 664.
Grab the next digit (8) from the dividend, add it to 664, then carry on: 6648 / 871

On to step 7:
When dividing 6648 by 871, we get 7 with a remainder of 551.
Use 7 as the next digit of our solution. 
Result so far: 10957.0
Deduct 6097 from 6648 and we're left with 551.
Include the next digit (6) from the dividend after 551, then repeat: 5516 / 871

Moving on to step 8:
5516 divided by 871 is 6 with a remainder of 290.
The number 6 becomes the next digit in our result. 
Result so far: 109576.0
If we take 5226 away from 5516, we end up with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Let's proceed to step 9:
871 goes into 2900 3 times with a remainder of 287.
The number 3 becomes the next digit in our result. 
Result so far: 109576.3
Subtracting 2613 from 2900 leaves us with 287.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2870, and continue the process.

Let's proceed to step 10:
If we divide 2870 by 871, we get 3 and a remainder of 257.
Record the quotient 3 as the next digit in the result. 
Result so far: 109576.33
Deduct 2613 from 2870 and we're left with 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2570, and continue the process.

The final result is 109576.33 with a remainder of 0.257.