96587 ÷ 25 
Our goal is to divide 96587 by 25.

Going ahead to step 1:
When dividing 9 by 25, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 25

Advancing to step 2:
96 divided by 25 is 3 with a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 75 from 96, we get 21.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 25

Moving on to step 3:
If we divide 215 by 25, we get 8 and a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
Subtract 200 from 215 to get 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 25

Going ahead to step 4:
The number 25 fits into 158 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 386.0
Subtract 150 from 158 to get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 25

Advancing to step 5:
The number 25 fits into 87 3 times, leaving a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 3863.0
Subtracting 75 from 87 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 6:
When dividing 120 by 25, we get 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 3863.4
If we subtract 100 from 120, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
25 can be fit into 200 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 3863.48
The remainder is 0 after subtracting 200 from 200.
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:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3863.48
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.

Advancing to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 3863.48
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.

After the division, we end up with 3863.48 and a remainder of 0.0.