We look at the division of 419792 by 15 
We're looking to find how many times 15 goes into 419792.

Let's proceed to step 1:
When dividing 4 by 15, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 15

On to step 2:
41 divided by 15 is 2 with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 30 from 41 to get 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 15

Advancing to step 3:
15 goes into 119 7 times with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Subtracting 105 from 119 leaves us with 14.
Take the next digit (7) from the dividend and append it to 14, then repeat: 147 / 15

Going ahead to step 4:
When dividing 147 by 15, we get 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 279.0
The remainder is 12 after subtracting 135 from 147.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 15

Step 5:
129 divided by 15 is 8 with a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 2798.0
If we take 120 away from 129, we end up with 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 15

Moving on to step 6:
15 can be fit into 92 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 27986.0
Subtracting 90 from 92 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
15 can be fit into 20 1 times, resulting in a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 27986.1
If we take 15 away from 20, we end up 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.

Going ahead to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 27986.13
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.

Moving on to step 9:
50 divided by 15 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 27986.133
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.

The quotient of the division is 27986.133, and the remainder is 0.0005.