We're dividing 581421 by 24 
We want to divide 581421 by 24.

Let's proceed to step 1:
24 goes into 5 0 times with 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.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 24

On to step 2:
If we divide 58 by 24, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 48 from 58 and we're left with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 24

Step 3:
24 can be fit into 101 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 24.0
The remainder is 5 after subtracting 96 from 101.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 24

Moving on to step 4:
24 goes into 54 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 242.0
If we take 48 away from 54, we end up with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 24

Let's proceed to step 5:
When dividing 62 by 24, we get 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 2422.0
The remainder is 14 after subtracting 48 from 62.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 24

Step 6:
The number 24 fits into 141 5 times, leaving a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 24225.0
Subtract 120 from 141 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
24 goes into 210 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 24225.8
If we subtract 192 from 210, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
180 divided by 24 is 7 with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 24225.87
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
120 divided by 24 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 24225.875
If we subtract 120 from 120, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
If we divide 0 by 24, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 24225.875
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
24 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 24225.875
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 24225.875, with a leftover of 0.0.