We divide 125431 by 11
The aim is to understand the frequency of 11 in 125431.

Going ahead to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 11

Advancing to step 2:
11 can be fit into 12 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 1 after subtracting 11 from 12.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 11

Moving on to step 3:
If we divide 15 by 11, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 11 away from 15, we end up with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 11

Going ahead to step 4:
44 divided by 11 is 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 114.0
If we subtract 44 from 44, we get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 11

Step 5:
11 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 1140.0
If we subtract 0 from 3, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 11

Let's proceed to step 6:
If we divide 31 by 11, we get 2 and a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 11402.0
If we subtract 22 from 31, 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.

Step 7:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 11402.8
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.

Advancing to step 8:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 11402.81
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.

Step 9:
11 goes into 90 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 11402.818
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.

Let's proceed to step 10:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 11402.8181
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.

Going ahead to step 11:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 11402.81818
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.

On to step 12:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 11402.818181
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.

Step 13:
If we divide 90 by 11, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 11402.8181818
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.

On to step 14:
If we divide 20 by 11, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 11402.81818181
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 11402.81818181 and a remainder of 9e-09.