We look at the division of 419331 by 14 
Our goal is to divide 419331 by 14.

Advancing to step 1:
The number 14 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 14

Going ahead to step 2:
14 can be fit into 41 2 times, resulting in a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 28 from 41 to get 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 14

Advancing to step 3:
14 can be fit into 139 9 times, resulting in a remainder of 13.
The next digit of our result is 9. 
Result so far: 29.0
If we take 126 away from 139, we end up with 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 14

Moving on to step 4:
When dividing 133 by 14, we get 9 with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 299.0
If we take 126 away from 133, we end up with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 14

Step 5:
14 goes into 73 5 times with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 2995.0
Subtracting 70 from 73 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 14

Step 6:
14 can be fit into 31 2 times, resulting in a remainder of 3.
The next digit of our result is 2. 
Result so far: 29952.0
Subtract 28 from 31 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
When dividing 30 by 14, we get 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 29952.2
Subtracting 28 from 30 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.

Step 8:
If we divide 20 by 14, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 29952.21
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
14 can be fit into 60 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 29952.214
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
40 divided by 14 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 29952.2142
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
14 goes into 120 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 29952.21428
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
80 divided by 14 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 29952.214285
Subtract 70 from 80 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
If we divide 100 by 14, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 29952.2142857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
14 goes into 20 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 29952.21428571
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 29952.21428571 with a remaining 6e-09.