508201 divided by 33 
We're looking to find how many times 33 goes into 508201.

Step 1:
The number 33 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 33

Moving on to step 2:
33 can be fit into 50 1 times, resulting in a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 33 from 50 leaves us with 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 33

Moving on to step 3:
When dividing 178 by 33, we get 5 with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 165 from 178 and we're left with 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 33

Going ahead to step 4:
If we divide 132 by 33, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 154.0
Subtracting 132 from 132 leaves us with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 33

Going ahead to step 5:
If we divide 0 by 33, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1540.0
Deduct 0 from 0 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 33

Step 6:
33 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 15400.0
If we take 0 away from 1, we end up 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.

Step 7:
10 divided by 33 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 15400.0
The remainder is 10 after subtracting 0 from 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:
When dividing 100 by 33, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 15400.03
The remainder is 1 after subtracting 99 from 100.
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 9:
33 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 15400.03
Subtracting 0 from 10 leaves us 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 10:
If we divide 100 by 33, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 15400.0303
Subtracting 99 from 100 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 11:
If we divide 10 by 33, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 15400.0303
If we take 0 away from 10, 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.

Step 12:
If we divide 100 by 33, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 15400.030303
The remainder is 1 after subtracting 99 from 100.
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 13:
33 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15400.030303
If we take 0 away from 10, 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 14:
The number 33 fits into 100 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 15400.03030303
The remainder is 1 after subtracting 99 from 100.
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 15400.03030303 with a balance of 1e-09.