We look at the division of 417727 by 3 
We want to divide 417727 by 3.

Advancing 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
If we subtract 3 from 4, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

Step 2:
The number 3 fits into 11 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 9 from 11 and we're left with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 3

On to step 3:
The number 3 fits into 27 9 times, leaving a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 139.0
Subtracting 27 from 27 leaves us with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 3

Let's proceed to step 4:
The number 3 fits into 7 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 1392.0
Deduct 6 from 7 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 3

Step 5:
3 goes into 12 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 13924.0
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

On to step 6:
7 divided by 3 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 139242.0
Deduct 6 from 7 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 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 139242.3
Subtract 9 from 10 to 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.

Moving on to step 8:
When dividing 10 by 3, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 139242.33
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.

The quotient of the division is 139242.33, and the remainder is 0.001.