We're dividing 500041 by 11 
The aim is to understand the frequency of 11 in 500041.

Moving on to step 1:
If we divide 5 by 11, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 11

Advancing to step 2:
50 divided by 11 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 44 from 50, we get 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 11

Moving on to step 3:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtracting 55 from 60 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 11

On to step 4:
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: 454.0
The remainder is 6 after subtracting 44 from 50.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 11

Step 5:
64 divided by 11 is 5 with a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 4545.0
The remainder is 9 after subtracting 55 from 64.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 11

Advancing to step 6:
The number 11 fits into 91 8 times, leaving a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 45458.0
Deduct 88 from 91 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
The number 11 fits into 30 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 45458.2
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
If we divide 80 by 11, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 45458.27
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
When dividing 30 by 11, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 45458.272
If we subtract 22 from 30, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 45458.2727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 45458.27272
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
The number 11 fits into 80 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 45458.272727
Subtract 77 from 80 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
If we divide 30 by 11, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 45458.2727272
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
If we divide 80 by 11, we get 7 and a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 45458.27272727
If we subtract 77 from 80, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 45458.27272727 with a remainder of 3e-09.