We're dividing 282440 by 96 
We want to figure out the number of times 282440 can be divided by 96.

On to step 1:
The number 96 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 96

Moving on to step 2:
If we divide 28 by 96, we get 0 and a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 28 leaves us with 28.
Fetch the next digit (2) from the dividend, attach it to 28 and continue: 282 / 96

Advancing to step 3:
The number 96 fits into 282 2 times, leaving a remainder of 90.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 90 after subtracting 192 from 282.
Include the next digit (4) from the dividend after 90, then repeat: 904 / 96

Let's proceed to step 4:
If we divide 904 by 96, we get 9 and a remainder of 40.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
If we subtract 864 from 904, we get 40.
Bring next digit (4) of the dividend behind the 40 and repeat the process: 404 / 96

Let's proceed to step 5:
96 can be fit into 404 4 times, resulting in a remainder of 20.
The next digit of our result is 4. 
Result so far: 294.0
Subtract 384 from 404 to get 20.
Take the next digit (0) from the dividend and append it to 20, then repeat: 200 / 96

Going ahead to step 6:
If we divide 200 by 96, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 2942.0
If we take 192 away from 200, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
If we divide 80 by 96, we get 0 and a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 2942.0
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 8:
The number 96 fits into 800 8 times, leaving a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 2942.08
Deduct 768 from 800 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
96 can be fit into 320 3 times, resulting in a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 2942.083
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
320 divided by 96 is 3 with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 2942.0833
The remainder is 32 after subtracting 288 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 2942.0833 with a remainder of 0.00032.