We look at the division of 533503 by 9 
We want to divide 533503 by 9.

Moving on to step 1:
5 divided by 9 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 9

Step 2:
53 divided by 9 is 5 with a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 8 after subtracting 45 from 53.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 9

Advancing to step 3:
9 can be fit into 83 9 times, resulting in a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
If we take 81 away from 83, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 9

Moving on to step 4:
9 goes into 25 2 times with a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 592.0
The remainder is 7 after subtracting 18 from 25.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 9

Let's proceed to step 5:
9 can be fit into 70 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 5927.0
Subtracting 63 from 70 leaves us with 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 9

On to step 6:
If we divide 73 by 9, we get 8 and a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 59278.0
Subtract 72 from 73 to 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.

Let's proceed to step 7:
When dividing 10 by 9, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 59278.1
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:
If we divide 10 by 9, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 59278.11
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 59278.11 with a remainder of 0.001.