We look at the division of 669876 by 11 
Our goal is to divide 669876 by 11.

Advancing to step 1:
When dividing 6 by 11, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 11

On to step 2:
If we divide 66 by 11, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 66 from 66 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 11

On to step 3:
The number 11 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Subtract 0 from 9 to get 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 11

On to step 4:
11 can be fit into 98 8 times, resulting in a remainder of 10.
The next digit of our result is 8. 
Result so far: 608.0
The remainder is 10 after subtracting 88 from 98.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 11

Advancing to step 5:
The number 11 fits into 107 9 times, leaving a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 6089.0
Subtracting 99 from 107 leaves us with 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 11

Let's proceed to step 6:
If we divide 86 by 11, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 60897.0
Subtracting 77 from 86 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.

Advancing to step 7:
When dividing 90 by 11, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 60897.8
If we subtract 88 from 90, we 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.

Advancing to step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 60897.81
Subtract 11 from 20 to 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 9:
If we divide 90 by 11, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 60897.818
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.

On to step 10:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 60897.8181
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.

Let's proceed to step 11:
When dividing 90 by 11, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 60897.81818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 60897.818181
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.

Step 13:
If we divide 90 by 11, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 60897.8181818
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.

Moving on to step 14:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 60897.81818181
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.

The quotient of the division is 60897.81818181, and the remainder is 9e-09.