We're dividing 338549 by 24 
We want to figure out the number of times 338549 can be divided by 24.

On to step 1:
24 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 24

On to step 2:
24 goes into 33 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 24 from 33 and we're left with 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 24

Step 3:
24 goes into 98 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 96 from 98 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 24

Moving on to step 4:
When dividing 25 by 24, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 141.0
If we take 24 away from 25, we end up with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 24

On to step 5:
24 goes into 14 0 times with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 1410.0
The remainder is 14 after subtracting 0 from 14.
Append the next digit (9) from the dividend to 14 and continue with: 149 / 24

Moving on to step 6:
When dividing 149 by 24, we get 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 14106.0
If we take 144 away from 149, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
If we divide 50 by 24, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 14106.2
If we subtract 48 from 50, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
If we divide 20 by 24, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 14106.2
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
If we divide 200 by 24, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 14106.208
Deduct 192 from 200 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
24 goes into 80 3 times with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 14106.2083
Subtracting 72 from 80 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
24 can be fit into 80 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 14106.20833
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 14106.20833 and a remainder of 8e-06.