667367 ÷ 13 
The aim is to understand the frequency of 13 in 667367.

Let's proceed to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 13

Moving on to step 2:
13 can be fit into 66 5 times, resulting in a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 65 away from 66, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 13

Moving on to step 3:
The number 13 fits into 17 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 51.0
The remainder is 4 after subtracting 13 from 17.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

On to step 4:
When dividing 43 by 13, we get 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 513.0
Subtracting 39 from 43 leaves us with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 13

Advancing to step 5:
13 goes into 46 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 5133.0
The remainder is 7 after subtracting 39 from 46.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 13

Step 6:
The number 13 fits into 77 5 times, leaving a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 51335.0
Deduct 65 from 77 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.

Moving on to step 7:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 51335.9
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.

Let's proceed to step 8:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 51335.92
If we subtract 26 from 30, 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.

On to step 9:
13 goes into 40 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 51335.923
If we take 39 away from 40, we end up 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.

On to step 10:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 51335.923
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.

On to step 11:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 51335.92307
If we subtract 91 from 100, we get 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 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 51335.923076
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.

Moving on to step 13:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 51335.9230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 51335.92307692
Deduct 26 from 30 and we're left 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.

The final result is 51335.92307692 with a remainder of 4e-09.