We're dividing 820661 by 3 
We want to figure out the number of times 820661 can be divided by 3.

Let's proceed to step 1:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 6 from 8 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 3

Advancing to step 2:
When dividing 22 by 3, we get 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Subtracting 21 from 22 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Moving on to step 3:
If we divide 10 by 3, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 273.0
Subtracting 9 from 10 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

On to step 4:
16 divided by 3 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 2735.0
If we subtract 15 from 16, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Advancing to step 5:
3 goes into 16 5 times with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 27355.0
If we subtract 15 from 16, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 3

Going ahead to step 6:
11 divided by 3 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 273553.0
Subtract 9 from 11 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.

Let's proceed to step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 273553.6
Subtract 18 from 20 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.

Moving on to step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 273553.66
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 273553.66 and a remainder of 0.002.