744338 ÷ 15 
We want to divide 744338 by 15.

Step 1:
15 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 15

Let's proceed to step 2:
74 divided by 15 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 60 from 74 leaves us with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 15

Going ahead to step 3:
When dividing 144 by 15, we get 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 49.0
Deduct 135 from 144 and we're left with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 15

On to step 4:
15 goes into 93 6 times with a remainder of 3.
The next digit of our result is 6. 
Result so far: 496.0
Deduct 90 from 93 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 15

Let's proceed to step 5:
33 divided by 15 is 2 with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 4962.0
Subtract 30 from 33 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 15

Advancing to step 6:
When dividing 38 by 15, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 49622.0
Subtract 30 from 38 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
15 goes into 80 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 49622.5
Subtracting 75 from 80 leaves us 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.

Step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 49622.53
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
If we divide 50 by 15, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 49622.533
Deduct 45 from 50 and we're left 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.

Our division results in 49622.533 with a remaining 0.0005.