We look at the division of 429329 by 15 
We're looking to find how many times 15 goes into 429329.

Going ahead to step 1:
When dividing 4 by 15, we get 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.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 15

Advancing to step 2:
42 divided by 15 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 12 after subtracting 30 from 42.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 15

Moving on to step 3:
The number 15 fits into 129 8 times, leaving a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
The remainder is 9 after subtracting 120 from 129.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 15

Step 4:
15 goes into 93 6 times with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 286.0
If we take 90 away from 93, we end up with 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 15

Step 5:
32 divided by 15 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2862.0
If we take 30 away from 32, we end up with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 15

On to step 6:
When dividing 29 by 15, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 28621.0
The remainder is 14 after subtracting 15 from 29.
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 7:
15 can be fit into 140 9 times, resulting in a remainder of 5.
The next digit of our result is 9. 
Result so far: 28621.9
Deduct 135 from 140 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
15 goes into 50 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 28621.93
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
50 divided by 15 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 28621.933
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 28621.933 with a remaining 0.0005.