We're dividing 434717 by 25 
Our goal is to divide 434717 by 25.

Let's proceed to step 1:
When dividing 4 by 25, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 25

On to step 2:
The number 25 fits into 43 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 25 from 43 to get 18.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 25

Step 3:
When dividing 184 by 25, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 175 from 184 and we're left with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 25

Let's proceed to step 4:
25 can be fit into 97 3 times, resulting in a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 173.0
Deduct 75 from 97 and we're left with 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 25

Step 5:
If we divide 221 by 25, we get 8 and a remainder of 21.
The next digit of our result is 8. 
Result so far: 1738.0
If we take 200 away from 221, we end up with 21.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 25

On to step 6:
25 goes into 217 8 times with a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 17388.0
Deduct 200 from 217 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
25 can be fit into 170 6 times, resulting in a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 17388.6
If we subtract 150 from 170, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
25 can be fit into 200 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 17388.68
Subtract 200 from 200 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.

Moving on to step 9:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 17388.68
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.

Step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 17388.68
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 17388.68 with a balance of 0.0.