497416 ÷ 11 
The aim is to understand the frequency of 11 in 497416.

Advancing to step 1:
11 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 11

On to step 2:
When dividing 49 by 11, we get 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 44 from 49 leaves us with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 11

On to step 3:
11 can be fit into 57 5 times, resulting in a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 45.0
Deduct 55 from 57 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 11

Let's proceed to step 4:
11 can be fit into 24 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 452.0
Deduct 22 from 24 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 11

Moving on to step 5:
When dividing 21 by 11, we get 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 4521.0
Subtracting 11 from 21 leaves us with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 11

Going ahead to step 6:
When dividing 106 by 11, we get 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 45219.0
Subtracting 99 from 106 leaves us 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.

On to step 7:
70 divided by 11 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 45219.6
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.

Moving on to step 8:
11 goes into 40 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 45219.63
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.

Moving on to step 9:
70 divided by 11 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 45219.636
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.

Moving on to step 10:
When dividing 40 by 11, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 45219.6363
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.

Advancing to step 11:
70 divided by 11 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 45219.63636
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.

Moving on to step 12:
40 divided by 11 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 45219.636363
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.

Let's proceed to step 13:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 45219.6363636
Deduct 66 from 70 and we're left 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.

Moving on to step 14:
11 goes into 40 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 45219.63636363
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.

The final result is 45219.63636363 with a remainder of 7e-09.