We look at the division of 216584 by 25 
We want to divide 216584 by 25.

On to step 1:
When dividing 2 by 25, we get 0 with 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.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 25

Going ahead to step 2:
21 divided by 25 is 0 with a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Fetch the next digit (6) from the dividend, attach it to 21 and continue: 216 / 25

Step 3:
25 goes into 216 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 200 from 216 and we're left with 16.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 25

Going ahead to step 4:
If we divide 165 by 25, we get 6 and a remainder of 15.
The next digit of our result is 6. 
Result so far: 86.0
Deduct 150 from 165 and we're left with 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 25

On to step 5:
158 divided by 25 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 866.0
The remainder is 8 after subtracting 150 from 158.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 25

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: 8663.0
Deduct 75 from 84 and we're left 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.

Advancing to step 7:
90 divided by 25 is 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 8663.3
Subtract 75 from 90 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
150 divided by 25 is 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 8663.36
Subtract 150 from 150 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.

On to step 9:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 8663.36
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.

On to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 8663.36
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 8663.36 with a balance of 0.0.