396409 ÷ 3 
Let's see how many times 3 fits into 396409.

Advancing to step 1:
3 can be fit into 3 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 3 from 3 leaves us with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 3

Let's proceed to step 2:
If we divide 9 by 3, we get 3 and a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtract 9 from 9 to get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 3

Moving on to step 3:
6 divided by 3 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 132.0
If we take 6 away from 6, we end up with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

Step 4:
4 divided by 3 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1321.0
If we take 3 away from 4, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

On to step 5:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 13213.0
If we take 9 away from 10, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 3

Step 6:
The number 3 fits into 19 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 132136.0
If we subtract 18 from 19, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
3 goes into 10 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 132136.3
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 132136.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 132136.33, and the remainder is 0.001.