339419 ÷ 15 
Let's see how many times 15 fits into 339419.

Advancing to step 1:
15 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 15

Step 2:
33 divided by 15 is 2 with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 3 after subtracting 30 from 33.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 15

Moving on to step 3:
When dividing 39 by 15, we get 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 22.0
Subtracting 30 from 39 leaves us with 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 15

Advancing to step 4:
15 goes into 94 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 226.0
Deduct 90 from 94 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 15

Advancing to step 5:
If we divide 41 by 15, we get 2 and a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2262.0
Subtract 30 from 41 to get 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 15

Step 6:
15 can be fit into 119 7 times, resulting in a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 22627.0
Subtract 105 from 119 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
15 can be fit into 140 9 times, resulting in a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 22627.9
If we subtract 135 from 140, 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.

Moving on to step 8:
50 divided by 15 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 22627.93
Subtracting 45 from 50 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.

Let's proceed to step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 22627.933
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.

The final result is 22627.933 with a remainder of 0.0005.