We're dividing 24566 by 3 
We want to figure out the number of times 24566 can be divided by 3.

Moving on to step 1:
3 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 3

Step 2:
When dividing 24 by 3, we get 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 24 from 24, we get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 3

On to step 3:
5 divided by 3 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Subtract 3 from 5 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Let's proceed to step 4:
If we divide 26 by 3, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 818.0
If we subtract 24 from 26, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Going ahead to step 5:
When dividing 26 by 3, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8188.0
Subtracting 24 from 26 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 8188.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 8188.66
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 8188.66, with a leftover of 0.002.