We look at the division of 66821111 by 999 
Let's see how many times 999 fits into 66821111.

Moving on to step 1:
If we divide 6 by 999, we get 0 and 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 / 999

On to step 2:
The number 999 fits into 66 0 times, leaving a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Include the next digit (8) from the dividend after 66, then repeat: 668 / 999

Advancing to step 3:
668 divided by 999 is 0 with a remainder of 668.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 668, we get 668.
Append the next digit (2) from the dividend to 668 and continue with: 6682 / 999

Advancing to step 4:
999 goes into 6682 6 times with a remainder of 688.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 5994 from 6682 and we're left with 688.
Append the next digit (1) from the dividend to 688 and continue with: 6881 / 999

On to step 5:
999 goes into 6881 6 times with a remainder of 887.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Subtracting 5994 from 6881 leaves us with 887.
Include the next digit (1) from the dividend after 887, then repeat: 8871 / 999

Moving on to step 6:
999 goes into 8871 8 times with a remainder of 879.
Put 8 as the next digit of the answer. 
Result so far: 668.0
If we take 7992 away from 8871, we end up with 879.
Grab the next digit (1) from the dividend, add it to 879, then carry on: 8791 / 999

On to step 7:
999 goes into 8791 8 times with a remainder of 799.
Record the quotient 8 as the next digit in the result. 
Result so far: 6688.0
Deduct 7992 from 8791 and we're left with 799.
Append the next digit (1) from the dividend to 799 and continue with: 7991 / 999

Step 8:
999 goes into 7991 7 times with a remainder of 998.
Use 7 as the next digit of our solution. 
Result so far: 66887.0
The remainder is 998 after subtracting 6993 from 7991.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9980, and continue the process.

Let's proceed to step 9:
When dividing 9980 by 999, we get 9 with a remainder of 989.
The next digit of our result is 9. 
Result so far: 66887.9
The remainder is 989 after subtracting 8991 from 9980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9890, and continue the process.

Moving on to step 10:
9890 divided by 999 is 9 with a remainder of 899.
Put 9 as the next digit of the answer. 
Result so far: 66887.99
Subtracting 8991 from 9890 leaves us with 899.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8990, and continue the process.

The final outcome is 66887.99, with a leftover of 0.899.