We're dividing 431284 by 11 
The aim is to understand the frequency of 11 in 431284.

Going ahead to step 1:
If we divide 4 by 11, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 11

Going ahead to step 2:
The number 11 fits into 43 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 33 from 43 leaves us with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 11

Going ahead to step 3:
If we divide 101 by 11, we get 9 and a remainder of 2.
The next digit of our result is 9. 
Result so far: 39.0
If we subtract 99 from 101, we get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 11

On to step 4:
The number 11 fits into 22 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 392.0
Subtract 22 from 22 to get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 11

Step 5:
If we divide 8 by 11, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 3920.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 11

On to step 6:
When dividing 84 by 11, we get 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 39207.0
The remainder is 7 after subtracting 77 from 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
11 goes into 70 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 39207.6
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.

Going ahead to step 8:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 39207.63
Subtract 33 from 40 to 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.

Advancing to step 9:
11 goes into 70 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 39207.636
Subtracting 66 from 70 leaves us 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.

Step 10:
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: 39207.6363
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.

Let's proceed to step 11:
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: 39207.63636
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 12:
11 goes into 40 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 39207.636363
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 13:
When dividing 70 by 11, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 39207.6363636
Subtracting 66 from 70 leaves us 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.

Let's proceed to step 14:
40 divided by 11 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 39207.63636363
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.

In conclusion, the division gives 39207.63636363 with a balance of 7e-09.