We're dividing 587057 by 15 
We're looking to find how many times 15 goes into 587057.

Let's proceed to step 1:
15 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 15

On to step 2:
58 divided by 15 is 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 13 after subtracting 45 from 58.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 15

Going ahead to step 3:
137 divided by 15 is 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 39.0
Subtracting 135 from 137 leaves us with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 15

Let's proceed to step 4:
The number 15 fits into 20 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 391.0
Deduct 15 from 20 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 15

Moving on to step 5:
If we divide 55 by 15, we get 3 and a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3913.0
The remainder is 10 after subtracting 45 from 55.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 15

Step 6:
15 goes into 107 7 times with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 39137.0
The remainder is 2 after subtracting 105 from 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 15 is 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 39137.1
Subtracting 15 from 20 leaves us 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.

Advancing to step 8:
15 goes into 50 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 39137.13
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.

Going ahead to step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 39137.133
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.

In conclusion, the division gives 39137.133 with a balance of 0.0005.