We divide 394138 by 15
We want to divide 394138 by 15.

On to step 1:
15 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 15

Moving on to step 2:
15 goes into 39 2 times with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 30 from 39 to get 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 15

Moving on to step 3:
If we divide 94 by 15, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 26.0
If we subtract 90 from 94, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 15

Let's proceed to step 4:
15 goes into 41 2 times with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 262.0
The remainder is 11 after subtracting 30 from 41.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 15

On to step 5:
15 goes into 113 7 times with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 2627.0
Subtracting 105 from 113 leaves us with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 15

Advancing to step 6:
If we divide 88 by 15, we get 5 and a remainder of 13.
The next digit of our result is 5. 
Result so far: 26275.0
The remainder is 13 after subtracting 75 from 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 15, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 26275.8
Deduct 120 from 130 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
100 divided by 15 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 26275.86
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 26275.866
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 26275.866 with a remainder of 0.001.