We look at the division of 345329 by 15 
We're looking to find how many times 15 goes into 345329.

Advancing to step 1:
15 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 15

Going ahead to step 2:
15 goes into 34 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
If we take 30 away from 34, we end up with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 15

Moving on to step 3:
15 goes into 45 3 times with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtract 45 from 45 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 15

Let's proceed to step 4:
If we divide 3 by 15, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 230.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 15

On to step 5:
When dividing 32 by 15, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2302.0
Subtract 30 from 32 to get 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 15

Let's proceed to step 6:
If we divide 29 by 15, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 23021.0
Subtracting 15 from 29 leaves us 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 7:
The number 15 fits into 140 9 times, leaving a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 23021.9
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.

Step 8:
50 divided by 15 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 23021.93
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.

On to step 9:
If we divide 50 by 15, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 23021.933
Subtracting 45 from 50 leaves us 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.

The final result is 23021.933 with a remainder of 0.0005.