677986 divided by 11 
We want to divide 677986 by 11.

Step 1:
11 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 11

Let's proceed to step 2:
The number 11 fits into 67 6 times, leaving a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 66 from 67 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 11

On to step 3:
17 divided by 11 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Subtract 11 from 17 to get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 11

On to step 4:
11 can be fit into 69 6 times, resulting in a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 616.0
Subtracting 66 from 69 leaves us with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 11

Step 5:
When dividing 38 by 11, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 6163.0
If we subtract 33 from 38, we get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 11

On to step 6:
The number 11 fits into 56 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 61635.0
If we subtract 55 from 56, 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.

Advancing to step 7:
10 divided by 11 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 61635.0
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.

Going ahead to step 8:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 61635.09
Deduct 99 from 100 and we're left 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.

On to step 9:
11 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 61635.09
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.

Advancing to step 10:
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: 61635.0909
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.

Moving on to step 11:
If we divide 10 by 11, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 61635.0909
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.

Let's proceed to step 12:
When dividing 100 by 11, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 61635.090909
Deduct 99 from 100 and we're left 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.

Going ahead to step 13:
If we divide 10 by 11, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 61635.090909
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.

Let's proceed to step 14:
When dividing 100 by 11, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 61635.09090909
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.

After the division, we end up with 61635.09090909 and a remainder of 1e-09.