172580 ÷ 15 
We want to figure out the number of times 172580 can be divided by 15.

Step 1:
When dividing 1 by 15, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 15

On to step 2:
17 divided by 15 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 15 from 17, we get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 15

Moving on to step 3:
15 can be fit into 22 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 7 after subtracting 15 from 22.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 15

Advancing to step 4:
The number 15 fits into 75 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 115.0
If we take 75 away from 75, we end up with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 15

Advancing to step 5:
8 divided by 15 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 1150.0
Subtract 0 from 8 to get 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 15

Let's proceed to step 6:
15 can be fit into 80 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 11505.0
Subtract 75 from 80 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.

Step 7:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 11505.3
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.

Step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 11505.33
If we subtract 45 from 50, we 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.

The final outcome is 11505.33, with a leftover of 0.005.