879671 ÷ 11 
Let's see how many times 11 fits into 879671.

Going ahead to step 1:
8 divided by 11 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
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

Advancing to step 2:
11 can be fit into 87 7 times, resulting in a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 77 from 87 to get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 11

Moving on to step 3:
109 divided by 11 is 9 with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
The remainder is 10 after subtracting 99 from 109.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 11

Going ahead to step 4:
If we divide 106 by 11, we get 9 and a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 799.0
Subtract 99 from 106 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 11

Let's proceed to step 5:
If we divide 77 by 11, we get 7 and a remainder of 0.
The next digit of our result is 7. 
Result so far: 7997.0
Subtracting 77 from 77 leaves us with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 11

Let's proceed to step 6:
11 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 79970.0
If we take 0 away from 1, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
When dividing 10 by 11, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 79970.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 11 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 79970.09
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 79970.09
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
If we divide 100 by 11, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 79970.0909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
10 divided by 11 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 79970.0909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
100 divided by 11 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 79970.090909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
10 divided by 11 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 79970.090909
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 79970.09090909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 79970.09090909 and a remainder of 1e-09.