Let's divide 134241 by 13
The aim is to understand the frequency of 13 in 134241.

Let's proceed to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 13

Advancing to step 2:
13 goes into 13 1 times with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 13 from 13 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 13

Step 3:
When dividing 4 by 13, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 4 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 13

Moving on to step 4:
13 goes into 42 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 103.0
The remainder is 3 after subtracting 39 from 42.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 13

Moving on to step 5:
When dividing 34 by 13, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 1032.0
If we take 26 away from 34, we end up with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 13

Going ahead to step 6:
The number 13 fits into 81 6 times, leaving a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 10326.0
Deduct 78 from 81 and we're left 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:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 10326.2
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.

Moving on to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 10326.23
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 9:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 10326.23
The remainder is 10 after subtracting 0 from 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 10:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 10326.2307
Deduct 91 from 100 and we're left 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 11:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 10326.23076
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.

Advancing 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: 10326.230769
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.

Going ahead to step 13:
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: 10326.2307692
Subtract 26 from 30 to 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.

Step 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 10326.23076923
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.

The quotient of the division is 10326.23076923, and the remainder is 1e-09.