We're dividing 829408 by 15 
We want to figure out the number of times 829408 can be divided by 15.

Step 1:
8 divided by 15 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 15

Let's proceed to step 2:
15 goes into 82 5 times with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 75 from 82, we get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 15

On to step 3:
79 divided by 15 is 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtracting 75 from 79 leaves us with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 15

Advancing to step 4:
15 goes into 44 2 times with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 552.0
Deduct 30 from 44 and we're left with 14.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 15

Advancing to step 5:
If we divide 140 by 15, we get 9 and a remainder of 5.
The next digit of our result is 9. 
Result so far: 5529.0
The remainder is 5 after subtracting 135 from 140.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 15

On to step 6:
The number 15 fits into 58 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 55293.0
If we take 45 away from 58, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
130 divided by 15 is 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 55293.8
Deduct 120 from 130 and we're left 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:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 55293.86
Deduct 90 from 100 and we're left 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.

Step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 55293.866
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 55293.866 with a balance of 0.001.