414719 ÷ 3 
We're looking to find how many times 3 goes into 414719.

On to step 1:
3 goes into 4 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 3 from 4 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 3

Let's proceed to step 2:
When dividing 11 by 3, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 9 away from 11, we end up with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 3

On to step 3:
3 can be fit into 24 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 138.0
If we subtract 24 from 24, we get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 3

Going ahead to step 4:
3 can be fit into 7 2 times, resulting in a remainder of 1.
The next digit of our result is 2. 
Result so far: 1382.0
Deduct 6 from 7 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 3

Let's proceed to step 5:
3 goes into 11 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 13823.0
Subtracting 9 from 11 leaves us with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 3

Let's proceed to step 6:
The number 3 fits into 29 9 times, leaving a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 138239.0
The remainder is 2 after subtracting 27 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 138239.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 138239.66
Subtracting 18 from 20 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.

Our division results in 138239.66 with a remaining 0.002.