We're dividing 17561 by 11 
The aim is to understand the frequency of 11 in 17561.

Let's proceed to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 11

Let's proceed to step 2:
When dividing 17 by 11, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 11 from 17 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 11

Going ahead to step 3:
If we divide 65 by 11, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtracting 55 from 65 leaves us with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 11

Going ahead to step 4:
The number 11 fits into 106 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 159.0
The remainder is 7 after subtracting 99 from 106.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 11

Step 5:
If we divide 71 by 11, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 1596.0
The remainder is 5 after subtracting 66 from 71.
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 6:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 1596.4
Deduct 44 from 50 and we're left 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.

Let's proceed to step 7:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 1596.45
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.

On to step 8:
11 goes into 50 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 1596.454
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.

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: 1596.4545
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.

Step 10:
50 divided by 11 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 1596.45454
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.

Step 11:
If we divide 60 by 11, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 1596.454545
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.

Let's proceed to step 12:
50 divided by 11 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 1596.4545454
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.

Going ahead to step 13:
60 divided by 11 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1596.45454545
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.

The final result is 1596.45454545 with a remainder of 5e-09.