We look at the division of 806366 by 3 
Let's see how many times 3 fits into 806366.

Advancing to step 1:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 6 from 8, we get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 3

Let's proceed to step 2:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Subtracting 18 from 20 leaves us with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Advancing to step 3:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 268.0
Subtract 24 from 26 to get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 3

Let's proceed to step 4:
3 goes into 23 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 2687.0
Subtract 21 from 23 to get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Let's proceed to step 5:
When dividing 26 by 3, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 26878.0
The remainder is 2 after subtracting 24 from 26.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Moving on to step 6:
When dividing 26 by 3, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 268788.0
Deduct 24 from 26 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.

Advancing to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 268788.6
Deduct 18 from 20 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 8:
3 goes into 20 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 268788.66
If we subtract 18 from 20, 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.

After the division, we end up with 268788.66 and a remainder of 0.002.