We're dividing 510981 by 11 
The aim is to understand the frequency of 11 in 510981.

On to step 1:
5 divided by 11 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 11

On to step 2:
The number 11 fits into 51 4 times, leaving a remainder of 7.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 7 after subtracting 44 from 51.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 11

On to step 3:
If we divide 70 by 11, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 46.0
Subtracting 66 from 70 leaves us with 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 11

Advancing to step 4:
11 can be fit into 49 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 464.0
Deduct 44 from 49 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 11

Moving on to step 5:
11 goes into 58 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 4645.0
Subtract 55 from 58 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 11

Advancing to step 6:
11 can be fit into 31 2 times, resulting in a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 46452.0
Subtract 22 from 31 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
90 divided by 11 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 46452.8
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 46452.81
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 46452.818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 46452.8181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 46452.81818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
When dividing 20 by 11, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 46452.818181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
If we divide 90 by 11, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 46452.8181818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 46452.81818181
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 46452.81818181 and a remainder of 9e-09.