We're dividing 157135 by 24 
We want to figure out the number of times 157135 can be divided by 24.

Advancing to step 1:
The number 24 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 24

On to step 2:
The number 24 fits into 15 0 times, leaving a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 24

Advancing to step 3:
When dividing 157 by 24, we get 6 with a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 144 from 157, we get 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 24

Let's proceed to step 4:
24 can be fit into 131 5 times, resulting in a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we take 120 away from 131, we end up with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 24

Going ahead to step 5:
When dividing 113 by 24, we get 4 with a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 654.0
Deduct 96 from 113 and we're left with 17.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 24

On to step 6:
The number 24 fits into 175 7 times, leaving a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 6547.0
If we take 168 away from 175, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
24 goes into 70 2 times with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 6547.2
If we take 48 away from 70, we end up 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.

Let's proceed to step 8:
24 goes into 220 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 6547.29
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.

Moving on to step 9:
40 divided by 24 is 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 6547.291
If we take 24 away from 40, 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.

Going ahead to step 10:
24 can be fit into 160 6 times, resulting in a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 6547.2916
If we subtract 144 from 160, 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.

Step 11:
24 can be fit into 160 6 times, resulting in a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 6547.29166
Subtract 144 from 160 to 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.

In conclusion, the division gives 6547.29166 with a balance of 1.6e-05.