We look at the division of 582766 by 24 
Let's see how many times 24 fits into 582766.

Moving on to step 1:
5 divided by 24 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 24

Advancing to step 2:
If we divide 58 by 24, we get 2 and a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 48 from 58 to get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 24

Let's proceed to step 3:
102 divided by 24 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 24.0
If we subtract 96 from 102, we get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 24

Let's proceed to step 4:
24 goes into 67 2 times with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 242.0
Subtracting 48 from 67 leaves us with 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 24

On to step 5:
When dividing 196 by 24, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 2428.0
Subtract 192 from 196 to get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 24

Going ahead to step 6:
24 goes into 46 1 times with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 24281.0
Deduct 24 from 46 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
220 divided by 24 is 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 24281.9
If we take 216 away from 220, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
The number 24 fits into 40 1 times, leaving a remainder of 16.
The next digit of our result is 1. 
Result so far: 24281.91
If we subtract 24 from 40, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
24 can be fit into 160 6 times, resulting in a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 24281.916
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.

Let's proceed to step 10:
24 can be fit into 160 6 times, resulting in a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 24281.9166
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 24281.9166 with a remainder of 0.00016.