We look at the division of 430659 by 17 
Our goal is to divide 430659 by 17.

Going ahead to step 1:
The number 17 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 17

Advancing to step 2:
43 divided by 17 is 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 34 from 43 leaves us with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 17

Going ahead to step 3:
17 goes into 90 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtracting 85 from 90 leaves us with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 17

Going ahead to step 4:
17 goes into 56 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 253.0
Subtract 51 from 56 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 17

Moving on to step 5:
When dividing 55 by 17, we get 3 with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 2533.0
Subtract 51 from 55 to get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 17

Moving on to step 6:
If we divide 49 by 17, we get 2 and a remainder of 15.
The next digit of our result is 2. 
Result so far: 25332.0
The remainder is 15 after subtracting 34 from 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
17 can be fit into 150 8 times, resulting in a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 25332.8
Deduct 136 from 150 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
When dividing 140 by 17, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 25332.88
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 25332.88 and a remainder of 0.004.