We're dividing 412235 by 15 
Our goal is to divide 412235 by 15.

Advancing to step 1:
15 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 15

Going ahead to step 2:
The number 15 fits into 41 2 times, leaving a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 30 away from 41, we end up with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 15

Let's proceed to step 3:
When dividing 112 by 15, we get 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 27.0
Deduct 105 from 112 and we're left with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 15

Advancing to step 4:
15 goes into 72 4 times with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 274.0
Subtracting 60 from 72 leaves us with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 15

Advancing to step 5:
15 goes into 123 8 times with a remainder of 3.
The next digit of our result is 8. 
Result so far: 2748.0
If we subtract 120 from 123, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 15

On to step 6:
The number 15 fits into 35 2 times, leaving a remainder of 5.
The next digit of our result is 2. 
Result so far: 27482.0
Deduct 30 from 35 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 7:
If we divide 50 by 15, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 27482.3
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.

Step 8:
15 goes into 50 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 27482.33
Subtract 45 from 50 to 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 27482.33, and the remainder is 0.005.