We're dividing 409113 by 14 
The aim is to understand the frequency of 14 in 409113.

Advancing to step 1:
4 divided by 14 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 14

Moving on to step 2:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 28 from 40 leaves us with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 14

Moving on to step 3:
When dividing 129 by 14, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 29.0
Subtracting 126 from 129 leaves us with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 14

Moving on to step 4:
If we divide 31 by 14, we get 2 and a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 292.0
If we subtract 28 from 31, we get 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 14

On to step 5:
14 goes into 31 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2922.0
If we take 28 away from 31, we end up with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 14

Step 6:
When dividing 33 by 14, we get 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 29222.0
If we subtract 28 from 33, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
If we divide 50 by 14, we get 3 and a remainder of 8.
The next digit of our result is 3. 
Result so far: 29222.3
Deduct 42 from 50 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 8:
If we divide 80 by 14, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 29222.35
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.

Going ahead to step 9:
14 goes into 100 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 29222.357
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.

Going ahead to step 10:
14 goes into 20 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 29222.3571
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
14 goes into 60 4 times with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 29222.35714
If we subtract 56 from 60, we 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.

Moving on to step 12:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 29222.357142
Deduct 28 from 40 and we're left 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.

Step 13:
14 can be fit into 120 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 29222.3571428
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
80 divided by 14 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 29222.35714285
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.

The final result is 29222.35714285 with a remainder of 1e-08.