71679 ÷ 11 
We want to divide 71679 by 11.

Advancing to step 1:
When dividing 7 by 11, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 11

Step 2:
71 divided by 11 is 6 with a remainder of 5.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 66 from 71 and we're left with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 11

Advancing to step 3:
If we divide 56 by 11, we get 5 and a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 65.0
Deduct 55 from 56 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 11

Advancing to step 4:
The number 11 fits into 17 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 651.0
The remainder is 6 after subtracting 11 from 17.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 11

Advancing to step 5:
11 can be fit into 69 6 times, resulting in a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6516.0
Subtract 66 from 69 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 6:
11 goes into 30 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 6516.2
Subtracting 22 from 30 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.

Step 7:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 6516.27
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
When dividing 30 by 11, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 6516.272
Deduct 22 from 30 and we're left 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.

Let's proceed to step 9:
When dividing 80 by 11, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 6516.2727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
30 divided by 11 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 6516.27272
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
11 goes into 80 7 times with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 6516.272727
If we subtract 77 from 80, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
11 can be fit into 30 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 6516.2727272
Subtracting 22 from 30 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.

On to step 13:
11 goes into 80 7 times with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 6516.27272727
Subtract 77 from 80 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 6516.27272727 and a remainder of 3e-09.