We divide 415098 by 25
We're looking to find how many times 25 goes into 415098.

Let's proceed to step 1:
If we divide 4 by 25, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 25

Advancing to step 2:
The number 25 fits into 41 1 times, leaving a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 25 away from 41, we end up with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 25

On to step 3:
165 divided by 25 is 6 with a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we subtract 150 from 165, we get 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 25

On to step 4:
When dividing 150 by 25, we get 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 166.0
Subtracting 150 from 150 leaves us with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 25

Step 5:
25 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 1660.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 25

Going ahead to step 6:
If we divide 98 by 25, we get 3 and a remainder of 23.
The next digit of our result is 3. 
Result so far: 16603.0
Subtract 75 from 98 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
The number 25 fits into 230 9 times, leaving a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 16603.9
The remainder is 5 after subtracting 225 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
25 can be fit into 50 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 16603.92
If we take 50 away from 50, we end up 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 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16603.92
If we subtract 0 from 0, we 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.

Moving on to step 10:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 16603.92
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.

In conclusion, the division gives 16603.92 with a balance of 0.0.