We divide 501067 by 11
The aim is to understand the frequency of 11 in 501067.

Advancing to step 1:
When dividing 5 by 11, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 11

Going ahead to step 2:
11 goes into 50 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 44 from 50 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 11

On to step 3:
If we divide 61 by 11, we get 5 and a remainder of 6.
The next digit of our result is 5. 
Result so far: 45.0
The remainder is 6 after subtracting 55 from 61.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 11

Let's proceed to step 4:
When dividing 60 by 11, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 455.0
The remainder is 5 after subtracting 55 from 60.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 11

Step 5:
If we divide 56 by 11, we get 5 and a remainder of 1.
The next digit of our result is 5. 
Result so far: 4555.0
Subtracting 55 from 56 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 11

On to step 6:
17 divided by 11 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 45551.0
Subtracting 11 from 17 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
11 goes into 60 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 45551.5
Deduct 55 from 60 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 45551.54
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
11 can be fit into 60 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 45551.545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
11 goes into 50 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 45551.5454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
60 divided by 11 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 45551.54545
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
When dividing 50 by 11, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 45551.545454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
11 goes into 60 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 45551.5454545
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
If we divide 50 by 11, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 45551.54545454
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 45551.54545454 with a balance of 6e-09.