506917 ÷ 11 
The aim is to understand the frequency of 11 in 506917.

Step 1:
When dividing 5 by 11, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 11

On to step 2:
50 divided by 11 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 44 away from 50, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 11

Let's proceed to step 3:
If we divide 66 by 11, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 46.0
The remainder is 0 after subtracting 66 from 66.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 11

Moving on to step 4:
When dividing 9 by 11, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 460.0
Subtract 0 from 9 to get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 11

Let's proceed to step 5:
If we divide 91 by 11, we get 8 and a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 4608.0
The remainder is 3 after subtracting 88 from 91.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 11

Going ahead to step 6:
When dividing 37 by 11, we get 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 46083.0
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.

On to step 7:
11 goes into 40 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 46083.3
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.

On to step 8:
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: 46083.36
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
40 divided by 11 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 46083.363
The remainder is 7 after subtracting 33 from 40.
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 10:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 46083.3636
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 11:
40 divided by 11 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 46083.36363
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.

Moving on to step 12:
When dividing 70 by 11, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 46083.363636
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 13:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 46083.3636363
The remainder is 7 after subtracting 33 from 40.
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 14:
When dividing 70 by 11, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 46083.36363636
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.

The quotient of the division is 46083.36363636, and the remainder is 4e-09.