We look at the division of 431425 by 17 
We're looking to find how many times 17 goes into 431425.

Advancing to step 1:
17 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 17

Moving on to step 2:
43 divided by 17 is 2 with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 9 after subtracting 34 from 43.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 17

Going ahead to step 3:
17 can be fit into 91 5 times, resulting in a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we subtract 85 from 91, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 17

On to step 4:
64 divided by 17 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 253.0
If we take 51 away from 64, we end up with 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 17

Let's proceed to step 5:
132 divided by 17 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 2537.0
The remainder is 13 after subtracting 119 from 132.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 17

On to step 6:
17 can be fit into 135 7 times, resulting in a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 25377.0
Subtracting 119 from 135 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
When dividing 160 by 17, we get 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 25377.9
The remainder is 7 after subtracting 153 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
The number 17 fits into 70 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 25377.94
Deduct 68 from 70 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
17 can be fit into 20 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 25377.941
The remainder is 3 after subtracting 17 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
30 divided by 17 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 25377.9411
Subtracting 17 from 30 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 25377.9411 and a remainder of 0.00013.