We're dividing 430960 by 25 
Let's see how many times 25 fits into 430960.

Going ahead to step 1:
4 divided by 25 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 25

Going ahead to step 2:
25 can be fit into 43 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 18 after subtracting 25 from 43.
Include the next digit (0) from the dividend after 18, then repeat: 180 / 25

Going ahead to step 3:
The number 25 fits into 180 7 times, leaving a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtracting 175 from 180 leaves us with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 25

Advancing to step 4:
25 can be fit into 59 2 times, resulting in a remainder of 9.
The next digit of our result is 2. 
Result so far: 172.0
Deduct 50 from 59 and we're left with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 25

Moving on to step 5:
The number 25 fits into 96 3 times, leaving a remainder of 21.
The next digit of our result is 3. 
Result so far: 1723.0
Subtract 75 from 96 to get 21.
Fetch the next digit (0) from the dividend, attach it to 21 and continue: 210 / 25

Step 6:
The number 25 fits into 210 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 17238.0
If we take 200 away from 210, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
If we divide 100 by 25, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 17238.4
Subtract 100 from 100 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 8:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17238.4
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.

Let's proceed to step 9:
0 divided by 25 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17238.4
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.

After the division, we end up with 17238.4 and a remainder of 0.0.