We look at the division of 706423 by 13 
The aim is to understand the frequency of 13 in 706423.

On to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 13

On to step 2:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 5.0
If we take 65 away from 70, we end up with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 13

Moving on to step 3:
The number 13 fits into 56 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
If we take 52 away from 56, we end up with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 13

Advancing to step 4:
13 goes into 44 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 543.0
Subtract 39 from 44 to get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 13

Let's proceed to step 5:
52 divided by 13 is 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 5434.0
Subtracting 52 from 52 leaves us with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 13

Going ahead to step 6:
The number 13 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 54340.0
If we take 0 away from 3, 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.

On to step 7:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 54340.2
Subtracting 26 from 30 leaves us 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 8:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 54340.23
Subtracting 39 from 40 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.

Let's proceed to step 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 54340.23
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.

Advancing to step 10:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 54340.2307
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.

Going ahead to step 11:
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: 54340.23076
If we take 78 away from 90, we end up 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.

Let's proceed to step 12:
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: 54340.230769
If we subtract 117 from 120, we 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.

Step 13:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 54340.2307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 54340.23076923
If we subtract 39 from 40, we 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.

The final outcome is 54340.23076923, with a leftover of 1e-09.