We're dividing 105000 by 24 
Our goal is to divide 105000 by 24.

Advancing to step 1:
When dividing 1 by 24, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 24

Moving on to step 2:
24 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 24

Let's proceed to step 3:
24 goes into 105 4 times with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 96 from 105 to get 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 24

Moving on to step 4:
24 goes into 90 3 times with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 43.0
Deduct 72 from 90 and we're left with 18.
Take the next digit (0) from the dividend and append it to 18, then repeat: 180 / 24

Going ahead to step 5:
24 can be fit into 180 7 times, resulting in a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 437.0
The remainder is 12 after subtracting 168 from 180.
Include the next digit (0) from the dividend after 12, then repeat: 120 / 24

Moving on to step 6:
24 goes into 120 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 4375.0
Subtract 120 from 120 to 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.

Advancing to step 7:
0 divided by 24 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4375.0
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 8:
The number 24 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4375.0
The remainder is 0 after subtracting 0 from 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 result is 4375.0 with a remainder of 0.0.