252584 ÷ 25 
Our goal is to divide 252584 by 25.

Let's proceed to step 1:
If we divide 2 by 25, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 25

On to step 2:
25 goes into 25 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 25 from 25, we get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 25

Going ahead to step 3:
When dividing 2 by 25, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 25

Moving on to step 4:
When dividing 25 by 25, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 101.0
Subtracting 25 from 25 leaves us with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 25

Going ahead to step 5:
25 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 1010.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 25

Going ahead to step 6:
84 divided by 25 is 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 10103.0
Subtract 75 from 84 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
25 can be fit into 90 3 times, resulting in a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 10103.3
If we take 75 away from 90, we end up 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.

On to step 8:
25 goes into 150 6 times with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 10103.36
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.

Moving on 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: 10103.36
Subtracting 0 from 0 leaves us 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.

Advancing to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10103.36
Subtracting 0 from 0 leaves us 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.

After the division, we end up with 10103.36 and a remainder of 0.0.