469116 divided by 11 
The aim is to understand the frequency of 11 in 469116.

Moving on to step 1:
4 divided by 11 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 11

Going ahead to step 2:
The number 11 fits into 46 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 44 away from 46, we end up with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 11

Step 3:
If we divide 29 by 11, we get 2 and a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Subtract 22 from 29 to get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 11

Step 4:
11 goes into 71 6 times with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 426.0
Deduct 66 from 71 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 11

On to step 5:
When dividing 51 by 11, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4264.0
If we take 44 away from 51, we end up with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 11

Going ahead to step 6:
76 divided by 11 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 42646.0
Subtracting 66 from 76 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
100 divided by 11 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 42646.9
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
When dividing 10 by 11, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 42646.9
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
When dividing 100 by 11, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 42646.909
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
10 divided by 11 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 42646.909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 42646.90909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
When dividing 10 by 11, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 42646.90909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 42646.9090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
10 divided by 11 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 42646.9090909
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 42646.9090909, and the remainder is 1e-08.