Let's divide 204265 by 30
We're looking to find how many times 30 goes into 204265.

Step 1:
2 divided by 30 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 30

Going ahead to step 2:
When dividing 20 by 30, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 20 after subtracting 0 from 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 30

On to step 3:
204 divided by 30 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 180 from 204 leaves us with 24.
Fetch the next digit (2) from the dividend, attach it to 24 and continue: 242 / 30

Moving on to step 4:
30 can be fit into 242 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 68.0
The remainder is 2 after subtracting 240 from 242.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 30

Step 5:
26 divided by 30 is 0 with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 680.0
If we take 0 away from 26, we end up with 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 30

On to step 6:
When dividing 265 by 30, we get 8 with a remainder of 25.
The next digit of our result is 8. 
Result so far: 6808.0
If we subtract 240 from 265, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
When dividing 250 by 30, we get 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 6808.8
If we subtract 240 from 250, we 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.

Advancing to step 8:
The number 30 fits into 100 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 6808.83
Subtract 90 from 100 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.

Going ahead to step 9:
If we divide 100 by 30, we get 3 and a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 6808.833
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.

The final result is 6808.833 with a remainder of 0.001.