476787 ÷ 11 
The aim is to understand the frequency of 11 in 476787.

Let's proceed to step 1:
The number 11 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 11

Moving on to step 2:
If we divide 47 by 11, we get 4 and a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 44 from 47, we get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 11

Step 3:
11 can be fit into 36 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 43.0
The remainder is 3 after subtracting 33 from 36.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 11

Moving on to step 4:
11 can be fit into 37 3 times, resulting in a remainder of 4.
The next digit of our result is 3. 
Result so far: 433.0
Subtract 33 from 37 to get 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 11

Advancing to step 5:
48 divided by 11 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 4334.0
Deduct 44 from 48 and we're left with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 11

On to step 6:
If we divide 47 by 11, we get 4 and a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 43344.0
Deduct 44 from 47 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:
If we divide 30 by 11, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 43344.2
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.

Let's proceed to step 8:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 43344.27
Deduct 77 from 80 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.

Let's proceed to step 9:
If we divide 30 by 11, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 43344.272
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 10:
80 divided by 11 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 43344.2727
Subtracting 77 from 80 leaves us 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.

Let's proceed to step 11:
11 goes into 30 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 43344.27272
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.

Advancing 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: 43344.272727
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:
30 divided by 11 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 43344.2727272
Subtracting 22 from 30 leaves us 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.

Moving on to step 14:
If we divide 80 by 11, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 43344.27272727
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.

The final result is 43344.27272727 with a remainder of 3e-09.