409127 divided by 11 
The aim is to understand the frequency of 11 in 409127.

Step 1:
11 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 11

Going ahead to step 2:
When dividing 40 by 11, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 33 from 40 and we're left with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 11

Let's proceed to step 3:
If we divide 79 by 11, we get 7 and a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
The remainder is 2 after subtracting 77 from 79.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 11

Advancing to step 4:
The number 11 fits into 21 1 times, leaving a remainder of 10.
The next digit of our result is 1. 
Result so far: 371.0
Subtract 11 from 21 to get 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 11

Let's proceed to step 5:
102 divided by 11 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 3719.0
Subtracting 99 from 102 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 11

Going ahead to step 6:
11 goes into 37 3 times with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 37193.0
Subtract 33 from 37 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 7:
40 divided by 11 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 37193.3
Deduct 33 from 40 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 8:
When dividing 70 by 11, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 37193.36
If we take 66 away from 70, 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.

On to step 9:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 37193.363
If we subtract 33 from 40, we get 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 10:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 37193.3636
If we take 66 away from 70, 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.

Advancing to step 11:
11 goes into 40 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 37193.36363
If we take 33 away from 40, we end up 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.

Step 12:
The number 11 fits into 70 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 37193.363636
Subtract 66 from 70 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.

Advancing to step 13:
When dividing 40 by 11, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 37193.3636363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 37193.36363636
If we subtract 66 from 70, we 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.

The quotient of the division is 37193.36363636, and the remainder is 4e-09.