38525 ÷ 15 
Our goal is to divide 38525 by 15.

On to step 1:
When dividing 3 by 15, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 15

Going ahead to step 2:
15 goes into 38 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 30 from 38 to get 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 15

Moving on to step 3:
The number 15 fits into 85 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we subtract 75 from 85, we get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 15

Step 4:
15 can be fit into 102 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 256.0
If we take 90 away from 102, we end up with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 15

Let's proceed to step 5:
15 goes into 125 8 times with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 2568.0
If we take 120 away from 125, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 6:
When dividing 50 by 15, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 2568.3
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
50 divided by 15 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 2568.33
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.

The quotient of the division is 2568.33, and the remainder is 0.005.