We're dividing 503053 by 30 
We want to figure out the number of times 503053 can be divided by 30.

Step 1:
The number 30 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 30

Moving on to step 2:
30 goes into 50 1 times with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 20 after subtracting 30 from 50.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 30

Advancing to step 3:
203 divided by 30 is 6 with a remainder of 23.
The next digit of our result is 6. 
Result so far: 16.0
The remainder is 23 after subtracting 180 from 203.
Bring next digit (0) of the dividend behind the 23 and repeat the process: 230 / 30

Step 4:
30 goes into 230 7 times with a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 167.0
The remainder is 20 after subtracting 210 from 230.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 30

Let's proceed to step 5:
The number 30 fits into 205 6 times, leaving a remainder of 25.
Put 6 as the next digit of the answer. 
Result so far: 1676.0
Subtracting 180 from 205 leaves us with 25.
Include the next digit (3) from the dividend after 25, then repeat: 253 / 30

On to step 6:
30 can be fit into 253 8 times, resulting in a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 16768.0
The remainder is 13 after subtracting 240 from 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
If we divide 130 by 30, we get 4 and a remainder of 10.
The next digit of our result is 4. 
Result so far: 16768.4
Subtract 120 from 130 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
100 divided by 30 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 16768.43
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
30 can be fit into 100 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 16768.433
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 16768.433, and the remainder is 0.001.