576301 ÷ 15 
Our goal is to divide 576301 by 15.

On to step 1:
The number 15 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 15

Step 2:
15 can be fit into 57 3 times, resulting in a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 45 from 57, we get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 15

Step 3:
15 goes into 126 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 38.0
If we take 120 away from 126, we end up with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 15

Moving on to step 4:
15 goes into 63 4 times with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 384.0
The remainder is 3 after subtracting 60 from 63.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 15

Moving on to step 5:
30 divided by 15 is 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 3842.0
If we subtract 30 from 30, we get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 15

Moving on to step 6:
The number 15 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 38420.0
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.

Let's proceed to step 7:
10 divided by 15 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 38420.0
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.

Going ahead to step 8:
100 divided by 15 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 38420.06
Deduct 90 from 100 and we're left 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.

Going ahead to step 9:
15 goes into 100 6 times with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 38420.066
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.

After the division, we end up with 38420.066 and a remainder of 0.001.