We look at the division of 66821 by 11 
We want to divide 66821 by 11.

On to step 1:
If we divide 6 by 11, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 11

Let's proceed to step 2:
66 divided by 11 is 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 66 from 66, we get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 11

Moving on to step 3:
11 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 11

On to step 4:
11 goes into 82 7 times with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 607.0
The remainder is 5 after subtracting 77 from 82.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 11

On to step 5:
11 can be fit into 51 4 times, resulting in a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 6074.0
Subtracting 44 from 51 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.

Let's proceed to step 6:
If we divide 70 by 11, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6074.6
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
40 divided by 11 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 6074.63
Subtract 33 from 40 to get 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 8:
11 goes into 70 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6074.636
Subtract 66 from 70 to 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.

Step 9:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 6074.6363
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.

Moving on to step 10:
70 divided by 11 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 6074.63636
Subtracting 66 from 70 leaves us 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.

Moving on to step 11:
When dividing 40 by 11, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 6074.636363
Subtract 33 from 40 to get 7.
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 12:
11 goes into 70 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 6074.6363636
Subtract 66 from 70 to 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.

Step 13:
When dividing 40 by 11, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 6074.63636363
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.

In conclusion, the division gives 6074.63636363 with a balance of 7e-09.