510230 ÷ 15 
Our goal is to divide 510230 by 15.

On to step 1:
The number 15 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
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 15

Step 2:
The number 15 fits into 51 3 times, leaving a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 45 from 51 and we're left with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 15

Advancing to step 3:
When dividing 60 by 15, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
If we take 60 away from 60, we end up with 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 15

On to step 4:
2 divided by 15 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 340.0
If we subtract 0 from 2, we get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 15

Let's proceed to step 5:
15 goes into 23 1 times with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 3401.0
Deduct 15 from 23 and we're left with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 15

Moving on to step 6:
When dividing 80 by 15, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 34015.0
Deduct 75 from 80 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 34015.3
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
If we divide 50 by 15, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 34015.33
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 34015.33, with a leftover of 0.005.