829308 ÷ 15 
We're looking to find how many times 15 goes into 829308.

Step 1:
The number 15 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 15

Moving on to step 2:
15 goes into 82 5 times with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 75 from 82 and we're left with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 15

Let's proceed to step 3:
15 can be fit into 79 5 times, resulting in a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
The remainder is 4 after subtracting 75 from 79.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 15

Going ahead to step 4:
If we divide 43 by 15, we get 2 and a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 552.0
If we take 30 away from 43, we end up with 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 15

Moving on to step 5:
If we divide 130 by 15, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 5528.0
Subtracting 120 from 130 leaves us with 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 15

Step 6:
If we divide 108 by 15, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 55287.0
The remainder is 3 after subtracting 105 from 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
15 goes into 30 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 55287.2
If we take 30 away from 30, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
15 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 55287.2
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
The number 15 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 55287.2
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 55287.2 with a remainder of 0.0.