We divide 296782 by 15
We want to figure out the number of times 296782 can be divided by 15.

On to step 1:
If we divide 2 by 15, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 15

Step 2:
If we divide 29 by 15, we get 1 and a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 15 from 29, we get 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 15

On to step 3:
146 divided by 15 is 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
The remainder is 11 after subtracting 135 from 146.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 15

Moving on to step 4:
15 can be fit into 117 7 times, resulting in a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 197.0
If we subtract 105 from 117, we get 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 15

On to step 5:
When dividing 128 by 15, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1978.0
If we subtract 120 from 128, we get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 15

Let's proceed to step 6:
The number 15 fits into 82 5 times, leaving a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 19785.0
Subtract 75 from 82 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
The number 15 fits into 70 4 times, leaving a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 19785.4
Subtracting 60 from 70 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.

On to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 19785.46
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.

Moving on to step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 19785.466
The remainder is 10 after subtracting 90 from 100.
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 19785.466 with a balance of 0.001.