Let's divide 217584 by 25
We want to figure out the number of times 217584 can be divided by 25.

Step 1:
If we divide 2 by 25, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 25

Let's proceed to step 2:
If we divide 21 by 25, we get 0 and a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 25

Step 3:
25 goes into 217 8 times with a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 200 from 217 leaves us with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 25

Step 4:
The number 25 fits into 175 7 times, leaving a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 87.0
If we subtract 175 from 175, we get 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 25

Step 5:
The number 25 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 870.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 25

Advancing to step 6:
If we divide 84 by 25, we get 3 and a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 8703.0
If we take 75 away from 84, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
25 can be fit into 90 3 times, resulting in a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 8703.3
Subtracting 75 from 90 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
150 divided by 25 is 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 8703.36
The remainder is 0 after subtracting 150 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8703.36
Deduct 0 from 0 and we're left 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.

Moving on to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 8703.36
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.

In conclusion, the division gives 8703.36 with a balance of 0.0.