We divide 503339 by 75
We're looking to find how many times 75 goes into 503339.

On to step 1:
75 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 75

Going ahead to step 2:
75 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Include the next digit (3) from the dividend after 50, then repeat: 503 / 75

Moving on to step 3:
503 divided by 75 is 6 with a remainder of 53.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 450 from 503 to get 53.
Take the next digit (3) from the dividend and append it to 53, then repeat: 533 / 75

Step 4:
75 can be fit into 533 7 times, resulting in a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
If we take 525 away from 533, we end up with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 75

Step 5:
75 can be fit into 83 1 times, resulting in a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 671.0
If we take 75 away from 83, we end up with 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 75

Step 6:
89 divided by 75 is 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 6711.0
The remainder is 14 after subtracting 75 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
140 divided by 75 is 1 with a remainder of 65.
Write down 1 as next digit of the result. 
Result so far: 6711.1
Subtracting 75 from 140 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 8:
When dividing 650 by 75, we get 8 with a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 6711.18
If we subtract 600 from 650, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 6711.186
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The next digit of our result is 6. 
Result so far: 6711.1866
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 6711.1866, with a leftover of 0.0005.