Let's divide 413119 by 15
We're looking to find how many times 15 goes into 413119.

Let's proceed to step 1:
15 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 15

Going ahead to step 2:
When dividing 41 by 15, we get 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 30 from 41 and we're left with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 15

Let's proceed to step 3:
When dividing 113 by 15, we get 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Deduct 105 from 113 and we're left with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 15

Advancing to step 4:
15 goes into 81 5 times with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 275.0
If we take 75 away from 81, we end up with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 15

Moving on to step 5:
15 can be fit into 61 4 times, resulting in a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 2754.0
Subtract 60 from 61 to get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 15

Going ahead to step 6:
The number 15 fits into 19 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 27541.0
Subtracting 15 from 19 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
When dividing 40 by 15, we get 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 27541.2
Subtract 30 from 40 to 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.

Moving on to step 8:
100 divided by 15 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 27541.26
If we take 90 away from 100, we end up 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.

Step 9:
100 divided by 15 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 27541.266
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 27541.266 with a remaining 0.001.