414723 divided by 25 
We want to figure out the number of times 414723 can be divided by 25.

Advancing to step 1:
The number 25 fits into 4 0 times, leaving 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.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 25

Advancing to step 2:
25 can be fit into 41 1 times, resulting in a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 25 from 41 leaves us with 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 25

Going ahead to step 3:
164 divided by 25 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 150 from 164 to get 14.
Include the next digit (7) from the dividend after 14, then repeat: 147 / 25

Let's proceed to step 4:
When dividing 147 by 25, we get 5 with a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 165.0
Subtracting 125 from 147 leaves us with 22.
Include the next digit (2) from the dividend after 22, then repeat: 222 / 25

On to step 5:
If we divide 222 by 25, we get 8 and a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 1658.0
Subtract 200 from 222 to get 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 25

Moving on to step 6:
When dividing 223 by 25, we get 8 with a remainder of 23.
Put 8 as the next digit of the answer. 
Result so far: 16588.0
If we take 200 away from 223, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
230 divided by 25 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 16588.9
Deduct 225 from 230 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:
If we divide 50 by 25, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 16588.92
If we subtract 50 from 50, 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.

Advancing to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 16588.92
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.

Moving on to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 16588.92
Subtract 0 from 0 to 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 16588.92 with a balance of 0.0.