We look at the division of 584305 by 15 
Let's see how many times 15 fits into 584305.

Advancing to step 1:
If we divide 5 by 15, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 15

Step 2:
15 can be fit into 58 3 times, resulting in a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 45 from 58, we get 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 15

Advancing to step 3:
When dividing 134 by 15, we get 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 38.0
If we take 120 away from 134, we end up with 14.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 15

Let's proceed to step 4:
The number 15 fits into 143 9 times, leaving a remainder of 8.
The next digit of our result is 9. 
Result so far: 389.0
Subtracting 135 from 143 leaves us with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 15

Step 5:
The number 15 fits into 80 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3895.0
Deduct 75 from 80 and we're left with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 15

Step 6:
The number 15 fits into 55 3 times, leaving a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 38953.0
If we take 45 away from 55, 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.

Moving on to step 7:
100 divided by 15 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 38953.6
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.

Let's proceed to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 38953.66
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 outcome is 38953.66, with a leftover of 0.01.