We look at the division of 213275 by 41 
The aim is to understand the frequency of 41 in 213275.

On to step 1:
2 divided by 41 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 41

Moving on to step 2:
41 goes into 21 0 times with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 41

Advancing to step 3:
When dividing 213 by 41, we get 5 with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 205 from 213, we get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 41

Moving on to step 4:
82 divided by 41 is 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Subtracting 82 from 82 leaves us with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 41

Moving on to step 5:
41 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 520.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 41

Going ahead to step 6:
41 can be fit into 75 1 times, resulting in a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 5201.0
If we take 41 away from 75, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
41 goes into 340 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 5201.8
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 5201.82
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 9:
380 divided by 41 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 5201.829
Subtract 369 from 380 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
41 goes into 110 2 times with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 5201.8292
Deduct 82 from 110 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
When dividing 280 by 41, we get 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 5201.82926
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
When dividing 340 by 41, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 5201.829268
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
120 divided by 41 is 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 5201.8292682
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 14:
If we divide 380 by 41, we get 9 and a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 5201.82926829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 5201.82926829 with a balance of 1.1e-08.