426214 divided by 13 
The aim is to understand the frequency of 13 in 426214.

Going ahead to step 1:
13 goes into 4 0 times with 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.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 13

Advancing to step 2:
42 divided by 13 is 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 39 from 42, we get 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 13

On to step 3:
The number 13 fits into 36 2 times, leaving a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
If we take 26 away from 36, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 13

Going ahead to step 4:
102 divided by 13 is 7 with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 327.0
If we subtract 91 from 102, we get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 13

Advancing to step 5:
The number 13 fits into 111 8 times, leaving a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 3278.0
If we subtract 104 from 111, we get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 13

Let's proceed to step 6:
When dividing 74 by 13, we get 5 with a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 32785.0
Subtracting 65 from 74 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.

On to step 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 32785.6
If we subtract 78 from 90, 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.

Step 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 32785.69
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 32785.692
If we take 26 away from 30, we end up with 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 10:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 32785.6923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 32785.6923
If we subtract 0 from 10, we 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.

Going ahead to step 12:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 32785.692307
Subtracting 91 from 100 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 13:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 32785.6923076
Subtract 78 from 90 to 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.

Let's proceed to step 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 32785.69230769
Subtract 117 from 120 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.

Our division results in 32785.69230769 with a remaining 3e-09.