We look at the division of 102184 by 24 
We want to figure out the number of times 102184 can be divided by 24.

Let's proceed 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
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 24

On to step 2:
When dividing 10 by 24, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 24

Advancing to step 3:
When dividing 102 by 24, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 96 from 102 leaves us with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 24

Moving on to step 4:
24 goes into 61 2 times with a remainder of 13.
The next digit of our result is 2. 
Result so far: 42.0
If we take 48 away from 61, we end up with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 24

Going ahead to step 5:
138 divided by 24 is 5 with a remainder of 18.
Write down 5 as next digit of the result. 
Result so far: 425.0
Deduct 120 from 138 and we're left with 18.
Fetch the next digit (4) from the dividend, attach it to 18 and continue: 184 / 24

Step 6:
24 can be fit into 184 7 times, resulting in a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 4257.0
If we subtract 168 from 184, 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.

Let's proceed to step 7:
When dividing 160 by 24, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 4257.6
Deduct 144 from 160 and we're left 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.

Moving on to step 8:
The number 24 fits into 160 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 4257.66
The remainder is 16 after subtracting 144 from 160.
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 4257.66 with a balance of 0.016.