We look at the division of 41520969 by 101 
The aim is to understand the frequency of 101 in 41520969.

Let's proceed to step 1:
When dividing 4 by 101, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 101

Let's proceed to step 2:
101 can be fit into 41 0 times, resulting in a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 101

On to step 3:
101 goes into 415 4 times with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 404 from 415 leaves us with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 101

Step 4:
The number 101 fits into 112 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 41.0
The remainder is 11 after subtracting 101 from 112.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 101

On to step 5:
If we divide 110 by 101, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 411.0
Deduct 101 from 110 and we're left with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 101

Moving on to step 6:
When dividing 99 by 101, we get 0 with a remainder of 99.
The number 0 becomes the next digit in our result. 
Result so far: 4110.0
Subtracting 0 from 99 leaves us with 99.
Grab the next digit (6) from the dividend, add it to 99, then carry on: 996 / 101

On to step 7:
The number 101 fits into 996 9 times, leaving a remainder of 87.
Use 9 as the next digit of our solution. 
Result so far: 41109.0
If we take 909 away from 996, we end up with 87.
Bring next digit (9) of the dividend behind the 87 and repeat the process: 879 / 101

Advancing to step 8:
101 goes into 879 8 times with a remainder of 71.
Write down 8 as next digit of the result. 
Result so far: 411098.0
The remainder is 71 after subtracting 808 from 879.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 9:
710 divided by 101 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 411098.7
The remainder is 3 after subtracting 707 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
If we divide 30 by 101, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 411098.7
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
300 divided by 101 is 2 with a remainder of 98.
The number 2 becomes the next digit in our result. 
Result so far: 411098.702
If we subtract 202 from 300, we get 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Advancing to step 12:
When dividing 980 by 101, we get 9 with a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 411098.7029
Subtracting 909 from 980 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 13:
710 divided by 101 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 411098.70297
The remainder is 3 after subtracting 707 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
When dividing 30 by 101, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 411098.70297
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 15:
The number 101 fits into 300 2 times, leaving a remainder of 98.
The next digit of our result is 2. 
Result so far: 411098.7029702
Deduct 202 from 300 and we're left with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Going ahead to step 16:
If we divide 980 by 101, we get 9 and a remainder of 71.
The next digit of our result is 9. 
Result so far: 411098.70297029
Subtracting 909 from 980 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

In conclusion, the division gives 411098.70297029 with a balance of 7.1e-08.