We look at the division of 10668 by 11 
Our goal is to divide 10668 by 11.

On to step 1:
1 divided by 11 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 11

Advancing to step 2:
10 divided by 11 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 11

On to step 3:
If we divide 106 by 11, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 7 after subtracting 99 from 106.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 11

On to step 4:
11 goes into 76 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 96.0
The remainder is 10 after subtracting 66 from 76.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 11

Advancing to step 5:
11 goes into 108 9 times with a remainder of 9.
The next digit of our result is 9. 
Result so far: 969.0
If we subtract 99 from 108, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
If we divide 90 by 11, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 969.8
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
The number 11 fits into 20 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 969.81
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 969.818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
20 divided by 11 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 969.8181
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 969.81818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
When dividing 20 by 11, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 969.818181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
When dividing 90 by 11, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 969.8181818
Subtract 88 from 90 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
If we divide 20 by 11, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 969.81818181
Deduct 11 from 20 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 969.81818181 with a remaining 9e-09.