We look at the division of 429957 by 25 
We're looking to find how many times 25 goes into 429957.

Step 1:
25 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 25

Let's proceed to step 2:
25 goes into 42 1 times with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 17 after subtracting 25 from 42.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 25

Going ahead to step 3:
25 can be fit into 179 7 times, resulting in a remainder of 4.
The next digit of our result is 7. 
Result so far: 17.0
Subtracting 175 from 179 leaves us with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 25

Moving on to step 4:
49 divided by 25 is 1 with a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 171.0
Subtract 25 from 49 to get 24.
Grab the next digit (5) from the dividend, add it to 24, then carry on: 245 / 25

Let's proceed to step 5:
If we divide 245 by 25, we get 9 and a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 1719.0
Deduct 225 from 245 and we're left with 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 25

Going ahead to step 6:
The number 25 fits into 207 8 times, leaving a remainder of 7.
The next digit of our result is 8. 
Result so far: 17198.0
Subtracting 200 from 207 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
If we divide 70 by 25, we get 2 and a remainder of 20.
The next digit of our result is 2. 
Result so far: 17198.2
If we take 50 away from 70, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 25, we get 8 and a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 17198.28
If we take 200 away from 200, 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.

Moving on 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: 17198.28
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.

Advancing to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 17198.28
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.

In conclusion, the division gives 17198.28 with a balance of 0.0.