We look at the division of 157421 by 24 
Let's see how many times 24 fits into 157421.

Going ahead to step 1:
The number 24 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 24

Moving on to step 2:
When dividing 15 by 24, we get 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 24

Let's proceed to step 3:
24 can be fit into 157 6 times, resulting in a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 144 from 157 and we're left with 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 24

On to step 4:
The number 24 fits into 134 5 times, leaving a remainder of 14.
The next digit of our result is 5. 
Result so far: 65.0
Deduct 120 from 134 and we're left with 14.
Grab the next digit (2) from the dividend, add it to 14, then carry on: 142 / 24

Moving on to step 5:
24 can be fit into 142 5 times, resulting in a remainder of 22.
Record the quotient 5 as the next digit in the result. 
Result so far: 655.0
If we take 120 away from 142, we end up with 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 24

Let's proceed to step 6:
When dividing 221 by 24, we get 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 6559.0
Subtracting 216 from 221 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 24 fits into 50 2 times, leaving a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 6559.2
Deduct 48 from 50 and we're left 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.

Let's proceed to step 8:
24 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6559.2
Subtracting 0 from 20 leaves us 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 9:
24 can be fit into 200 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 6559.208
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.

Going ahead to step 10:
24 can be fit into 80 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 6559.2083
Deduct 72 from 80 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.

On to step 11:
80 divided by 24 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 6559.20833
Deduct 72 from 80 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.

In conclusion, the division gives 6559.20833 with a balance of 8e-06.