We divide 412278 by 3
We want to figure out the number of times 412278 can be divided by 3.

Moving on to step 1:
3 can be fit into 4 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 3 from 4 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 3

Moving on to step 2:
If we divide 11 by 3, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 9 from 11 and we're left with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 3

Let's proceed to step 3:
3 goes into 22 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 137.0
If we subtract 21 from 22, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

On to step 4:
If we divide 12 by 3, we get 4 and a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 1374.0
The remainder is 0 after subtracting 12 from 12.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Going ahead to step 5:
When dividing 7 by 3, we get 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 13742.0
Subtract 6 from 7 to get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 3

Step 6:
If we divide 18 by 3, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 137426.0
If we take 18 away from 18, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
If we divide 0 by 3, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 137426.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
3 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 137426.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 137426.0, and the remainder is 0.0.