Let's divide 82576 by 15
Our goal is to divide 82576 by 15.

Going ahead to step 1:
When dividing 8 by 15, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 15

On to step 2:
When dividing 82 by 15, we get 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 75 from 82 to get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 15

Let's proceed to step 3:
15 goes into 75 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 55.0
If we subtract 75 from 75, we get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 15

Let's proceed to step 4:
If we divide 7 by 15, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 550.0
If we subtract 0 from 7, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 15

Moving on to step 5:
The number 15 fits into 76 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 5505.0
Deduct 75 from 76 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
When dividing 10 by 15, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5505.0
If we subtract 0 from 10, 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.

Moving on to step 7:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 5505.06
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 5505.066
Subtract 90 from 100 to 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.

In conclusion, the division gives 5505.066 with a balance of 0.001.