We're dividing 414278 by 25 
Let's see how many times 25 fits into 414278.

Moving on to step 1:
25 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 25

Let's proceed to step 2:
25 can be fit into 41 1 times, resulting in 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 (4) from the dividend, attach it to 16 and continue: 164 / 25

Going ahead to step 3:
25 goes into 164 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtracting 150 from 164 leaves us with 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 25

Step 4:
If we divide 142 by 25, we get 5 and a remainder of 17.
Write down 5 as next digit of the result. 
Result so far: 165.0
If we subtract 125 from 142, we get 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 25

Advancing to step 5:
25 can be fit into 177 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 1657.0
Subtract 175 from 177 to get 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 25

On to step 6:
25 goes into 28 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 16571.0
If we take 25 away from 28, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
The number 25 fits into 30 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 16571.1
If we subtract 25 from 30, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
25 goes into 50 2 times with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 16571.12
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.

Going ahead to step 9:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 16571.12
If we take 0 away from 0, 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.

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: 16571.12
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.

In conclusion, the division gives 16571.12 with a balance of 0.0.