We look at the division of 97585 by 25 
We're looking to find how many times 25 goes into 97585.

Moving on to step 1:
The number 25 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 25

Step 2:
25 goes into 97 3 times with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 75 from 97 and we're left with 22.
Take the next digit (5) from the dividend and append it to 22, then repeat: 225 / 25

On to step 3:
When dividing 225 by 25, we get 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 39.0
If we take 225 away from 225, we end up with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 25

Going ahead to step 4:
If we divide 8 by 25, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 390.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 25

Moving on to step 5:
25 goes into 85 3 times with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 3903.0
If we take 75 away from 85, 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.

Going ahead to step 6:
25 goes into 100 4 times with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 3903.4
If we take 100 away from 100, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
When dividing 0 by 25, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 3903.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 3903.4
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 3903.4 with a remaining 0.0.