584065 ÷ 15 
We want to divide 584065 by 15.

Moving on to step 1:
15 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 15

Advancing to step 2:
If we divide 58 by 15, we get 3 and a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 45 from 58 and we're left with 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 15

Going ahead to step 3:
The number 15 fits into 134 8 times, leaving a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 38.0
Deduct 120 from 134 and we're left with 14.
Fetch the next digit (0) from the dividend, attach it to 14 and continue: 140 / 15

On to step 4:
When dividing 140 by 15, we get 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 389.0
If we take 135 away from 140, we end up with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 15

Let's proceed to step 5:
15 can be fit into 56 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 3893.0
If we take 45 away from 56, we end up with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 15

Let's proceed to step 6:
115 divided by 15 is 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 38937.0
The remainder is 10 after subtracting 105 from 115.
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 7:
If we divide 100 by 15, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 38937.6
If we subtract 90 from 100, 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.

Step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 38937.66
Subtracting 90 from 100 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.

The final result is 38937.66 with a remainder of 0.01.