We look at the division of 40344 by 15 
Our goal is to divide 40344 by 15.

Let's proceed to step 1:
The number 15 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 15

Let's proceed to step 2:
The number 15 fits into 40 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 30 from 40 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 15

Step 3:
103 divided by 15 is 6 with a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 26.0
Deduct 90 from 103 and we're left with 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 15

On to step 4:
15 can be fit into 134 8 times, resulting in a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 268.0
Deduct 120 from 134 and we're left with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 15

Moving on to step 5:
15 can be fit into 144 9 times, resulting in a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 2689.0
If we take 135 away from 144, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 6:
15 goes into 90 6 times with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 2689.6
Subtract 90 from 90 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.

Let's proceed to step 7:
The number 15 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2689.6
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.

Going ahead to step 8:
0 divided by 15 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2689.6
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.

After the division, we end up with 2689.6 and a remainder of 0.0.