We look at the division of 109257 by 24 
We want to figure out the number of times 109257 can be divided by 24.

Let's proceed to step 1:
If we divide 1 by 24, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 24

Advancing to step 2:
10 divided by 24 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 24

Moving on to step 3:
109 divided by 24 is 4 with a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 96 from 109 and we're left with 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 24

Moving on to step 4:
The number 24 fits into 132 5 times, leaving a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
If we subtract 120 from 132, we get 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 24

Step 5:
24 can be fit into 125 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 455.0
The remainder is 5 after subtracting 120 from 125.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 24

On to step 6:
24 can be fit into 57 2 times, resulting in a remainder of 9.
The next digit of our result is 2. 
Result so far: 4552.0
Subtracting 48 from 57 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
24 can be fit into 90 3 times, resulting in a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 4552.3
Deduct 72 from 90 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
24 goes into 180 7 times with a remainder of 12.
The next digit of our result is 7. 
Result so far: 4552.37
If we subtract 168 from 180, we 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.

Going ahead to step 9:
24 can be fit into 120 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 4552.375
Subtracting 120 from 120 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.

Step 10:
0 divided by 24 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4552.375
If we take 0 away from 0, we end up 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.

On to step 11:
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: 4552.375
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 quotient of the division is 4552.375, and the remainder is 0.0.