We divide 585311 by 15
We want to figure out the number of times 585311 can be divided by 15.

Step 1:
15 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 15

Moving on to step 2:
If we divide 58 by 15, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 45 from 58 leaves us with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 15

Step 3:
When dividing 135 by 15, we get 9 with a remainder of 0.
The next digit of our result is 9. 
Result so far: 39.0
If we take 135 away from 135, we end up with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 15

Moving on to step 4:
The number 15 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 390.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 15

On to step 5:
When dividing 31 by 15, we get 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 3902.0
Subtract 30 from 31 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 15

Going ahead to step 6:
15 goes into 11 0 times with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 39020.0
If we subtract 0 from 11, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
15 can be fit into 110 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 39020.7
Subtract 105 from 110 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.

On to step 8:
If we divide 50 by 15, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 39020.73
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.

Advancing to step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 39020.733
Subtracting 45 from 50 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.

In conclusion, the division gives 39020.733 with a balance of 0.0005.