We're dividing 105319 by 24 
Let's see how many times 24 fits into 105319.

Moving on to step 1:
24 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 24

Let's proceed to step 2:
The number 24 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 24

Advancing to step 3:
24 goes into 105 4 times with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 9 after subtracting 96 from 105.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 24

Advancing to step 4:
If we divide 93 by 24, we get 3 and a remainder of 21.
The next digit of our result is 3. 
Result so far: 43.0
If we take 72 away from 93, we end up with 21.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 24

Going ahead to step 5:
24 goes into 211 8 times with a remainder of 19.
Record the quotient 8 as the next digit in the result. 
Result so far: 438.0
The remainder is 19 after subtracting 192 from 211.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 24

On to step 6:
If we divide 199 by 24, we get 8 and a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 4388.0
Subtract 192 from 199 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
24 can be fit into 70 2 times, resulting in a remainder of 22.
The next digit of our result is 2. 
Result so far: 4388.2
Subtract 48 from 70 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
220 divided by 24 is 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 4388.29
If we subtract 216 from 220, we get 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:
40 divided by 24 is 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 4388.291
If we take 24 away from 40, 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.

Moving on to step 10:
160 divided by 24 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 4388.2916
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.

On to step 11:
24 can be fit into 160 6 times, resulting in a remainder of 16.
The next digit of our result is 6. 
Result so far: 4388.29166
If we subtract 144 from 160, 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.

Our division results in 4388.29166 with a remaining 1.6e-05.