603009 ÷ 81 
Our goal is to divide 603009 by 81.

Let's proceed to step 1:
The number 81 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 81

Going ahead to step 2:
60 divided by 81 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 60 after subtracting 0 from 60.
Fetch the next digit (3) from the dividend, attach it to 60 and continue: 603 / 81

Let's proceed to step 3:
81 can be fit into 603 7 times, resulting in a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 567 away from 603, we end up with 36.
Take the next digit (0) from the dividend and append it to 36, then repeat: 360 / 81

Moving on to step 4:
360 divided by 81 is 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 74.0
If we take 324 away from 360, we end up with 36.
Fetch the next digit (0) from the dividend, attach it to 36 and continue: 360 / 81

Going ahead to step 5:
The number 81 fits into 360 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 744.0
The remainder is 36 after subtracting 324 from 360.
Include the next digit (9) from the dividend after 36, then repeat: 369 / 81

Going ahead to step 6:
369 divided by 81 is 4 with a remainder of 45.
Record the quotient 4 as the next digit in the result. 
Result so far: 7444.0
Subtracting 324 from 369 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 7:
81 goes into 450 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 7444.5
If we subtract 405 from 450, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
450 divided by 81 is 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 7444.55
Subtract 405 from 450 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 7444.55 with a remaining 0.045.