We divide 434413 by 15
We want to figure out the number of times 434413 can be divided by 15.

Moving on to step 1:
15 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 15

Going ahead to step 2:
The number 15 fits into 43 2 times, leaving a remainder of 13.
The next digit of our result is 2. 
Result so far: 2.0
If we take 30 away from 43, we end up with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 15

Moving on to step 3:
The number 15 fits into 134 8 times, leaving a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 28.0
If we take 120 away from 134, we end up with 14.
Append the next digit (4) from the dividend to 14 and continue with: 144 / 15

Going ahead to step 4:
15 goes into 144 9 times with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 289.0
If we take 135 away from 144, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 15

On to step 5:
If we divide 91 by 15, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 2896.0
Subtracting 90 from 91 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 15

Going ahead to step 6:
When dividing 13 by 15, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 28960.0
If we subtract 0 from 13, we 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.

Going ahead to step 7:
130 divided by 15 is 8 with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 28960.8
If we take 120 away from 130, 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.

On to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 28960.86
Subtracting 90 from 100 leaves us 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.

Let's proceed to step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 28960.866
If we take 90 away from 100, 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.

The final outcome is 28960.866, with a leftover of 0.001.