128001 ÷ 11 
The aim is to understand the frequency of 11 in 128001.

Step 1:
11 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 11

On to step 2:
11 can be fit into 12 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 11 from 12.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 11

Advancing to step 3:
If we divide 18 by 11, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 11 from 18 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 11

Step 4:
70 divided by 11 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 116.0
If we take 66 away from 70, we end up with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 11

Let's proceed to step 5:
40 divided by 11 is 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1163.0
The remainder is 7 after subtracting 33 from 40.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 11

Step 6:
11 goes into 71 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 11636.0
Deduct 66 from 71 and we're left 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.

Advancing to step 7:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 11636.4
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
When dividing 60 by 11, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 11636.45
If we subtract 55 from 60, 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.

Let's proceed to step 9:
50 divided by 11 is 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 11636.454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
60 divided by 11 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 11636.4545
If we subtract 55 from 60, 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.

Advancing to step 11:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 11636.45454
If we take 44 away from 50, we end up 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 12:
If we divide 60 by 11, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 11636.454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 11636.4545454
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
When dividing 60 by 11, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 11636.45454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 11636.45454545 with a remainder of 5e-09.