We look at the division of 24153 by 45 
We want to figure out the number of times 24153 can be divided by 45.

Let's proceed to step 1:
If we divide 2 by 45, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 45

Step 2:
If we divide 24 by 45, we get 0 and a remainder of 24.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 24 leaves us with 24.
Append the next digit (1) from the dividend to 24 and continue with: 241 / 45

On to step 3:
The number 45 fits into 241 5 times, leaving a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 225 from 241 leaves us with 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 45

Step 4:
45 can be fit into 165 3 times, resulting in a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 53.0
If we subtract 135 from 165, we get 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 45

Let's proceed to step 5:
45 can be fit into 303 6 times, resulting in a remainder of 33.
Use 6 as the next digit of our solution. 
Result so far: 536.0
If we subtract 270 from 303, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 6:
330 divided by 45 is 7 with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 536.7
Deduct 315 from 330 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 536.73
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 536.733
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 536.733 with a balance of 0.0015.