414093 divided by 14 
We want to figure out the number of times 414093 can be divided by 14.

On to step 1:
The number 14 fits into 4 0 times, leaving 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

Going ahead to step 2:
If we divide 41 by 14, we get 2 and a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 13 after subtracting 28 from 41.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 14

Advancing to step 3:
The number 14 fits into 134 9 times, leaving a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 29.0
The remainder is 8 after subtracting 126 from 134.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 14

Step 4:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 295.0
Subtract 70 from 80 to get 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 14

Step 5:
When dividing 109 by 14, we get 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 2957.0
Subtract 98 from 109 to get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 14

Step 6:
14 can be fit into 113 8 times, resulting in a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 29578.0
Subtracting 112 from 113 leaves us 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.

Moving on to step 7:
10 divided by 14 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 29578.0
Deduct 0 from 10 and we're left 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.

Moving on to step 8:
If we divide 100 by 14, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 29578.07
Deduct 98 from 100 and we're left 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.

Moving on to step 9:
14 goes into 20 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 29578.071
Subtracting 14 from 20 leaves us 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.

On to step 10:
When dividing 60 by 14, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 29578.0714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
14 goes into 40 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 29578.07142
If we subtract 28 from 40, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
14 can be fit into 120 8 times, resulting in a remainder of 8.
The next digit of our result is 8. 
Result so far: 29578.071428
If we take 112 away from 120, we end up 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 13:
14 goes into 80 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 29578.0714285
Deduct 70 from 80 and we're left 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.

Moving on to step 14:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 29578.07142857
If we take 98 away from 100, we end up 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 29578.07142857 with a remaining 2e-09.