We're dividing 395584 by 25 
Let's see how many times 25 fits into 395584.

Moving on to step 1:
When dividing 3 by 25, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 25

Let's proceed to step 2:
39 divided by 25 is 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 25 from 39 and we're left with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 25

Going ahead to step 3:
When dividing 145 by 25, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 125 away from 145, we end up with 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 25

Going ahead to step 4:
25 can be fit into 205 8 times, resulting in a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 158.0
Deduct 200 from 205 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 25

Moving on to step 5:
The number 25 fits into 58 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 1582.0
Deduct 50 from 58 and we're left with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 25

On to step 6:
When dividing 84 by 25, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 15823.0
If we subtract 75 from 84, we 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.

Advancing to step 7:
When dividing 90 by 25, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 15823.3
Deduct 75 from 90 and we're left 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.

Moving on to step 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 15823.36
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 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 15823.36
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.

Let's proceed to step 10:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 15823.36
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 15823.36 with a balance of 0.0.