We look at the division of 256384 by 24 
Our goal is to divide 256384 by 24.

Advancing to step 1:
24 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 24

Let's proceed to step 2:
24 can be fit into 25 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 24 from 25, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 24

Advancing to step 3:
If we divide 16 by 24, we get 0 and a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 16 leaves us with 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 24

On to step 4:
24 can be fit into 163 6 times, resulting in a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
Subtract 144 from 163 to get 19.
Take the next digit (8) from the dividend and append it to 19, then repeat: 198 / 24

On to step 5:
If we divide 198 by 24, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 1068.0
If we take 192 away from 198, we end up with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 24

Moving on to step 6:
The number 24 fits into 64 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 10682.0
Deduct 48 from 64 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
The number 24 fits into 160 6 times, leaving a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 10682.6
If we take 144 away from 160, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
24 goes into 160 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 10682.66
The remainder is 16 after subtracting 144 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 10682.66 with a remainder of 0.016.