We divide 130810 by 11
The aim is to understand the frequency of 11 in 130810.

Let's proceed to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 11

On to step 2:
13 divided by 11 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 11 from 13 leaves us with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 11

Moving on to step 3:
If we divide 20 by 11, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 11 away from 20, we end up with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 11

On to step 4:
11 can be fit into 98 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
Subtract 88 from 98 to get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 11

Moving on to step 5:
11 can be fit into 101 9 times, resulting in a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 1189.0
Subtract 99 from 101 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 11

Advancing to step 6:
When dividing 20 by 11, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11891.0
If we subtract 11 from 20, 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.

Moving on to step 7:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 11891.8
Subtract 88 from 90 to 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.

Advancing to step 8:
20 divided by 11 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 11891.81
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 11891.818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
If we divide 20 by 11, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11891.8181
Subtracting 11 from 20 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.

Advancing to step 11:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 11891.81818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
11 goes into 20 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 11891.818181
Subtracting 11 from 20 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 13:
When dividing 90 by 11, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 11891.8181818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
If we divide 20 by 11, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 11891.81818181
Subtract 11 from 20 to 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.

After the division, we end up with 11891.81818181 and a remainder of 9e-09.