We divide 429614 by 17
We're looking to find how many times 17 goes into 429614.

On to step 1:
4 divided by 17 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 17

Step 2:
The number 17 fits into 42 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 34 from 42 to get 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 17

On to step 3:
17 can be fit into 89 5 times, resulting in a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 25.0
If we subtract 85 from 89, we get 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 17

Moving on to step 4:
17 can be fit into 46 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 252.0
Deduct 34 from 46 and we're left with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 17

Let's proceed to step 5:
When dividing 121 by 17, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 2527.0
If we take 119 away from 121, we end up with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 17

Let's proceed to step 6:
24 divided by 17 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 25271.0
If we take 17 away from 24, we end up 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:
70 divided by 17 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 25271.4
Subtract 68 from 70 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
If we divide 20 by 17, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 25271.41
Subtracting 17 from 20 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
If we divide 30 by 17, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 25271.411
Subtract 17 from 30 to get 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 25271.411 and a remainder of 0.0013.