Let's divide 25315 by 15
We want to divide 25315 by 15.

Advancing to step 1:
The number 15 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 15

Step 2:
15 can be fit into 25 1 times, resulting in a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 15 away from 25, we end up with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 15

Let's proceed to step 3:
103 divided by 15 is 6 with a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 90 away from 103, we end up with 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 15

Advancing to step 4:
If we divide 131 by 15, we get 8 and a remainder of 11.
The next digit of our result is 8. 
Result so far: 168.0
If we subtract 120 from 131, we get 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 15

Step 5:
The number 15 fits into 115 7 times, leaving a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 1687.0
Deduct 105 from 115 and we're left 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.

Going ahead to step 6:
100 divided by 15 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 1687.6
Deduct 90 from 100 and we're left 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.

Moving on to step 7:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 1687.66
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.

The final result is 1687.66 with a remainder of 0.01.