We look at the division of 871558 by 11 
We're looking to find how many times 11 goes into 871558.

Moving on to step 1:
11 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 11

Step 2:
The number 11 fits into 87 7 times, leaving a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 10 after subtracting 77 from 87.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 11

Let's proceed to step 3:
The number 11 fits into 101 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 79.0
Subtracting 99 from 101 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 11

Step 4:
The number 11 fits into 25 2 times, leaving a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 792.0
Deduct 22 from 25 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 11

Let's proceed to step 5:
35 divided by 11 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 7923.0
If we subtract 33 from 35, we get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 11

Step 6:
If we divide 28 by 11, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 79232.0
Subtract 22 from 28 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
If we divide 60 by 11, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 79232.5
Deduct 55 from 60 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 79232.54
The remainder is 6 after subtracting 44 from 50.
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 9:
60 divided by 11 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 79232.545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
50 divided by 11 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 79232.5454
Subtracting 44 from 50 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.

Step 11:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 79232.54545
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
11 goes into 50 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 79232.545454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
60 divided by 11 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 79232.5454545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 79232.54545454
If we take 44 away from 50, we end up 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.

After the division, we end up with 79232.54545454 and a remainder of 6e-09.