Let's divide 102319 by 24
We're looking to find how many times 24 goes into 102319.

Let's proceed to step 1:
24 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 24

Going ahead to step 2:
24 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 24

Let's proceed to step 3:
When dividing 102 by 24, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 96 away from 102, we end up with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 24

Moving on to step 4:
When dividing 63 by 24, we get 2 with a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 42.0
Deduct 48 from 63 and we're left with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 24

Going ahead to step 5:
24 goes into 151 6 times with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 426.0
Subtracting 144 from 151 leaves us with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 24

Going ahead to step 6:
The number 24 fits into 79 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 4263.0
Deduct 72 from 79 and we're left 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.

Moving on to step 7:
24 goes into 70 2 times with a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 4263.2
The remainder is 22 after subtracting 48 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
24 can be fit into 220 9 times, resulting in a remainder of 4.
The next digit of our result is 9. 
Result so far: 4263.29
Deduct 216 from 220 and we're left 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.

Step 9:
The number 24 fits into 40 1 times, leaving a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 4263.291
Subtracting 24 from 40 leaves us 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 10:
160 divided by 24 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 4263.2916
If we take 144 away from 160, 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 11:
24 goes into 160 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 4263.29166
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 4263.29166 with a balance of 1.6e-05.