We look at the division of 172672 by 15 
We're looking to find how many times 15 goes into 172672.

On to step 1:
1 divided by 15 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 15

Step 2:
The number 15 fits into 17 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 15 away from 17, we end up with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 15

Going ahead to step 3:
15 goes into 22 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 15 away from 22, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 15

Advancing to step 4:
The number 15 fits into 76 5 times, leaving a remainder of 1.
The next digit of our result is 5. 
Result so far: 115.0
Subtract 75 from 76 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 15

Step 5:
If we divide 17 by 15, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1151.0
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

On to step 6:
The number 15 fits into 22 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 11511.0
If we take 15 away from 22, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 15 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 11511.4
If we subtract 60 from 70, 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.

Let's proceed to step 8:
100 divided by 15 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 11511.46
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 11511.466
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.

The final result is 11511.466 with a remainder of 0.001.