We divide 820603 by 3
We want to divide 820603 by 3.

Step 1:
8 divided by 3 is 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 6 from 8 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 3

Going ahead to step 2:
When dividing 22 by 3, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 27.0
Deduct 21 from 22 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 3

Let's proceed to step 3:
10 divided by 3 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 273.0
Subtract 9 from 10 to get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 3

Going ahead to step 4:
16 divided by 3 is 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 2735.0
Subtracting 15 from 16 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 3

On to step 5:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 27353.0
If we take 9 away from 10, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Going ahead to step 6:
13 divided by 3 is 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 273534.0
Subtracting 12 from 13 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 273534.3
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 273534.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 273534.33 with a balance of 0.001.