We look at the division of 153234 by 13 
The aim is to understand the frequency of 13 in 153234.

Let's proceed to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 13

Moving on to step 2:
15 divided by 13 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 13 from 15 and we're left with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 13

Step 3:
When dividing 23 by 13, we get 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 13 from 23 leaves us with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 13

Step 4:
102 divided by 13 is 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
Deduct 91 from 102 and we're left with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 13

Step 5:
When dividing 113 by 13, we get 8 with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 1178.0
Subtract 104 from 113 to get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 13

On to step 6:
When dividing 94 by 13, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 11787.0
Subtracting 91 from 94 leaves us 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.

Let's proceed to step 7:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 11787.2
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.

Moving on to step 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 11787.23
The remainder is 1 after subtracting 39 from 40.
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 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 11787.23
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.

Let's proceed to step 10:
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: 11787.2307
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.

On to step 11:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 11787.23076
Subtracting 78 from 90 leaves us 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.

Going ahead to step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 11787.230769
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 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 11787.2307692
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.

Going ahead to step 14:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 11787.23076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 11787.23076923 with a remaining 1e-09.