We're dividing 581352 by 15 
Our goal is to divide 581352 by 15.

Going ahead to step 1:
If we divide 5 by 15, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 15

Going ahead to step 2:
15 goes into 58 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 45 away from 58, we end up with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 15

Advancing to step 3:
131 divided by 15 is 8 with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 38.0
The remainder is 11 after subtracting 120 from 131.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 15

Moving on to step 4:
15 can be fit into 113 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 387.0
Deduct 105 from 113 and we're left with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 15

Advancing to step 5:
15 goes into 85 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 3875.0
Subtracting 75 from 85 leaves us with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 15

Going ahead to step 6:
102 divided by 15 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 38756.0
Deduct 90 from 102 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
15 goes into 120 8 times with a remainder of 0.
The next digit of our result is 8. 
Result so far: 38756.8
If we subtract 120 from 120, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
15 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 38756.8
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
15 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 38756.8
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 38756.8, with a leftover of 0.0.