341144 ÷ 15 
We want to figure out the number of times 341144 can be divided by 15.

Step 1:
If we divide 3 by 15, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 15

Advancing to step 2:
The number 15 fits into 34 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 30 from 34 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 15

Let's proceed to step 3:
15 can be fit into 41 2 times, resulting in a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
Subtracting 30 from 41 leaves us with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 15

Moving on to step 4:
15 goes into 111 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 227.0
The remainder is 6 after subtracting 105 from 111.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 15

On to step 5:
15 can be fit into 64 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 2274.0
If we take 60 away from 64, we end up with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 15

On to step 6:
15 can be fit into 44 2 times, resulting in a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 22742.0
The remainder is 14 after subtracting 30 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
140 divided by 15 is 9 with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 22742.9
Deduct 135 from 140 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.

Let's proceed to step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
The next digit of our result is 3. 
Result so far: 22742.93
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 22742.933
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.

In conclusion, the division gives 22742.933 with a balance of 0.0005.