We look at the division of 666021 by 11 
We're looking to find how many times 11 goes into 666021.

On to step 1:
11 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 11

Let's proceed to step 2:
If we divide 66 by 11, we get 6 and a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 66 from 66, we get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 11

On to step 3:
If we divide 6 by 11, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 60.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 11

Step 4:
11 goes into 60 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 605.0
If we take 55 away from 60, we end up with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 11

Advancing to step 5:
11 goes into 52 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 6054.0
Deduct 44 from 52 and we're left with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 11

Moving on to step 6:
If we divide 81 by 11, we get 7 and a remainder of 4.
The next digit of our result is 7. 
Result so far: 60547.0
If we subtract 77 from 81, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 60547.3
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 60547.36
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
When dividing 40 by 11, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 60547.363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
11 goes into 70 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 60547.3636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 60547.36363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
If we divide 70 by 11, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 60547.363636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
11 goes into 40 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 60547.3636363
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 14:
If we divide 70 by 11, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 60547.36363636
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 60547.36363636, and the remainder is 4e-09.