414493 divided by 25 
We're looking to find how many times 25 goes into 414493.

Let's proceed to step 1:
If we divide 4 by 25, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 25

Let's proceed to step 2:
The number 25 fits into 41 1 times, leaving a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 25 from 41 to get 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 25

Step 3:
The number 25 fits into 164 6 times, leaving a remainder of 14.
The next digit of our result is 6. 
Result so far: 16.0
The remainder is 14 after subtracting 150 from 164.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 25

On to step 4:
The number 25 fits into 144 5 times, leaving a remainder of 19.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Deduct 125 from 144 and we're left with 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 25

Moving on to step 5:
25 can be fit into 199 7 times, resulting in a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 1657.0
Deduct 175 from 199 and we're left with 24.
Fetch the next digit (3) from the dividend, attach it to 24 and continue: 243 / 25

Advancing to step 6:
25 goes into 243 9 times with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 16579.0
If we subtract 225 from 243, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
If we divide 180 by 25, we get 7 and a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 16579.7
Deduct 175 from 180 and we're left with 5.
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:
The number 25 fits into 50 2 times, leaving a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 16579.72
Subtracting 50 from 50 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.

Let's proceed to step 9:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16579.72
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 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: 16579.72
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.

The final result is 16579.72 with a remainder of 0.0.