Let's divide 260410 by 13
The aim is to understand the frequency of 13 in 260410.

Going ahead to step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 13

On to step 2:
When dividing 26 by 13, we get 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 26 away from 26, we end up with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 13

Step 3:
13 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtract 0 from 0 to get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 13

Let's proceed to step 4:
4 divided by 13 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 200.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 13

Going ahead to step 5:
41 divided by 13 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 2003.0
Subtract 39 from 41 to get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 13

Going ahead to step 6:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 20031.0
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 20031.5
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 20031.53
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
13 goes into 110 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 20031.538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 20031.5384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 20031.53846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 20031.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 20031.5384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 20031.53846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 20031.53846153 with a remaining 1.1e-08.