We divide 419771 by 14
We want to figure out the number of times 419771 can be divided by 14.

On to step 1:
14 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 14

Let's proceed to step 2:
The number 14 fits into 41 2 times, leaving a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 28 from 41, we get 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 14

On to step 3:
14 can be fit into 139 9 times, resulting in a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
If we take 126 away from 139, we end up with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 14

Step 4:
14 goes into 137 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 299.0
The remainder is 11 after subtracting 126 from 137.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 14

Step 5:
14 goes into 117 8 times with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 2998.0
Subtract 112 from 117 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 14

Going ahead to step 6:
The number 14 fits into 51 3 times, leaving a remainder of 9.
The next digit of our result is 3. 
Result so far: 29983.0
Subtracting 42 from 51 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
14 goes into 90 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 29983.6
The remainder is 6 after subtracting 84 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
60 divided by 14 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 29983.64
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.

Step 9:
14 goes into 40 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 29983.642
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
14 goes into 120 8 times with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 29983.6428
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.

Let's proceed to step 11:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 29983.64285
If we take 70 away from 80, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
100 divided by 14 is 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 29983.642857
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
14 goes into 20 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 29983.6428571
Deduct 14 from 20 and we're left 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.

Moving on to step 14:
60 divided by 14 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 29983.64285714
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.

Our division results in 29983.64285714 with a remaining 4e-09.