We look at the division of 175297 by 15 
We want to divide 175297 by 15.

Step 1:
15 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 15

On to step 2:
If we divide 17 by 15, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 15 from 17 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 15

Step 3:
15 can be fit into 25 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 15 from 25 and we're left with 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 15

Let's proceed to step 4:
If we divide 102 by 15, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 116.0
Subtract 90 from 102 to get 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 15

On to step 5:
15 goes into 129 8 times with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 1168.0
If we subtract 120 from 129, we get 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 15

Advancing to step 6:
If we divide 97 by 15, we get 6 and a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 11686.0
If we subtract 90 from 97, we get 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:
The number 15 fits into 70 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 11686.4
If we take 60 away from 70, we end up 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.

On to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 11686.46
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.

Advancing to step 9:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 11686.466
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.

After the division, we end up with 11686.466 and a remainder of 0.001.