We look at the division of 11668085 by 101 
The aim is to understand the frequency of 101 in 11668085.

On to step 1:
101 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 101

Moving on to step 2:
When dividing 11 by 101, we get 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 101

Going ahead to step 3:
The number 101 fits into 116 1 times, leaving a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 15 after subtracting 101 from 116.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 101

On to step 4:
101 can be fit into 156 1 times, resulting in a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 101 from 156 leaves us with 55.
Bring next digit (8) of the dividend behind the 55 and repeat the process: 558 / 101

On to step 5:
When dividing 558 by 101, we get 5 with a remainder of 53.
The number 5 becomes the next digit in our result. 
Result so far: 115.0
Subtracting 505 from 558 leaves us with 53.
Include the next digit (0) from the dividend after 53, then repeat: 530 / 101

Let's proceed to step 6:
101 can be fit into 530 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1155.0
Subtract 505 from 530 to get 25.
Bring next digit (8) of the dividend behind the 25 and repeat the process: 258 / 101

Step 7:
101 can be fit into 258 2 times, resulting in a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 11552.0
If we take 202 away from 258, we end up with 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 101

Going ahead to step 8:
565 divided by 101 is 5 with a remainder of 60.
The next digit of our result is 5. 
Result so far: 115525.0
If we subtract 505 from 565, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
101 goes into 600 5 times with a remainder of 95.
Use 5 as the next digit of our solution. 
Result so far: 115525.5
Deduct 505 from 600 and we're left with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Moving on to step 10:
101 can be fit into 950 9 times, resulting in a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 115525.59
Subtracting 909 from 950 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 11:
When dividing 410 by 101, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 115525.594
Deduct 404 from 410 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.

On to step 12:
If we divide 60 by 101, we get 0 and a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 115525.594
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
600 divided by 101 is 5 with a remainder of 95.
The number 5 becomes the next digit in our result. 
Result so far: 115525.59405
If we take 505 away from 600, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Moving on to step 14:
The number 101 fits into 950 9 times, leaving a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 115525.594059
If we take 909 away from 950, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 15:
The number 101 fits into 410 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 115525.5940594
If we take 404 away from 410, 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.

Advancing to step 16:
101 goes into 60 0 times with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 115525.5940594
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The quotient of the division is 115525.5940594, and the remainder is 6e-08.