We look at the division of 587666 by 24 
We're looking to find how many times 24 goes into 587666.

Step 1:
24 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 24

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
Subtracting 48 from 58 leaves us with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 24

Going ahead to step 3:
24 goes into 107 4 times with a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
Subtract 96 from 107 to get 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 24

On to step 4:
When dividing 116 by 24, we get 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 244.0
If we subtract 96 from 116, we get 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 24

Going ahead to step 5:
206 divided by 24 is 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 2448.0
If we take 192 away from 206, we end up with 14.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 24

Advancing to step 6:
24 goes into 146 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 24486.0
Subtract 144 from 146 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.

Moving on to step 7:
When dividing 20 by 24, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 24486.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
The number 24 fits into 200 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 24486.08
Deduct 192 from 200 and we're left 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.

Step 9:
24 can be fit into 80 3 times, resulting in a remainder of 8.
The next digit of our result is 3. 
Result so far: 24486.083
If we take 72 away from 80, 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.

Moving on to step 10:
80 divided by 24 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 24486.0833
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 24486.0833, and the remainder is 8e-05.