871391 ÷ 11 
Our goal is to divide 871391 by 11.

Step 1:
The number 11 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 11

Advancing to step 2:
When dividing 87 by 11, we get 7 with a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 77 from 87 leaves us with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 11

Step 3:
101 divided by 11 is 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 79.0
If we subtract 99 from 101, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 11

Moving on to step 4:
23 divided by 11 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 792.0
If we subtract 22 from 23, we get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 11

Moving on to step 5:
11 goes into 19 1 times with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 7921.0
The remainder is 8 after subtracting 11 from 19.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 11

Advancing to step 6:
If we divide 81 by 11, we get 7 and a remainder of 4.
The next digit of our result is 7. 
Result so far: 79217.0
The remainder is 4 after subtracting 77 from 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
11 goes into 40 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 79217.3
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
11 goes into 70 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 79217.36
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
The number 11 fits into 40 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 79217.363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 79217.3636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
When dividing 40 by 11, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 79217.36363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
If we divide 70 by 11, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 79217.363636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
40 divided by 11 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 79217.3636363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
11 goes into 70 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 79217.36363636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 79217.36363636, with a leftover of 4e-09.