We're dividing 429717 by 17 
We want to figure out the number of times 429717 can be divided by 17.

On to step 1:
17 goes into 4 0 times 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

On to step 2:
17 goes into 42 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 34 from 42 leaves us with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 17

Moving on to step 3:
17 can be fit into 89 5 times, resulting in a remainder of 4.
The next digit of our result is 5. 
Result so far: 25.0
If we subtract 85 from 89, we get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 17

Advancing to step 4:
47 divided by 17 is 2 with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 252.0
Deduct 34 from 47 and we're left with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 17

Going ahead to step 5:
17 goes into 131 7 times with a remainder of 12.
The next digit of our result is 7. 
Result so far: 2527.0
The remainder is 12 after subtracting 119 from 131.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 17

On to step 6:
17 can be fit into 127 7 times, resulting in a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 25277.0
Subtracting 119 from 127 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
17 goes into 80 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 25277.4
If we take 68 away from 80, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
17 can be fit into 120 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 25277.47
Subtract 119 from 120 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
When dividing 10 by 17, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 25277.47
If we take 0 away from 10, 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.

Advancing to step 10:
When dividing 100 by 17, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 25277.4705
Subtract 85 from 100 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
If we divide 150 by 17, we get 8 and a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 25277.47058
If we take 136 away from 150, we end up 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.

Advancing to step 12:
17 goes into 140 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 25277.470588
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 25277.470588 with a remainder of 4e-07.