182297 ÷ 41 
The aim is to understand the frequency of 41 in 182297.

Let's proceed to step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 41

Going ahead to step 2:
18 divided by 41 is 0 with a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 18 leaves us with 18.
Bring next digit (2) of the dividend behind the 18 and repeat the process: 182 / 41

Step 3:
If we divide 182 by 41, we get 4 and a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 18 after subtracting 164 from 182.
Append the next digit (2) from the dividend to 18 and continue with: 182 / 41

On to step 4:
If we divide 182 by 41, we get 4 and a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 44.0
Subtracting 164 from 182 leaves us with 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 41

On to step 5:
If we divide 189 by 41, we get 4 and a remainder of 25.
Put 4 as the next digit of the answer. 
Result so far: 444.0
Deduct 164 from 189 and we're left with 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 41

Step 6:
The number 41 fits into 257 6 times, leaving a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 4446.0
If we subtract 246 from 257, 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.

Moving on to step 7:
41 goes into 110 2 times with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 4446.2
If we take 82 away from 110, we end up 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.

Let's proceed to step 8:
The number 41 fits into 280 6 times, leaving a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 4446.26
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
41 can be fit into 340 8 times, resulting in a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 4446.268
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
If we divide 120 by 41, we get 2 and a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 4446.2682
Subtract 82 from 120 to 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.

Going ahead to step 11:
The number 41 fits into 380 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 4446.26829
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.

Advancing to step 12:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 4446.268292
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.

Let's proceed to step 13:
The number 41 fits into 280 6 times, leaving a remainder of 34.
The next digit of our result is 6. 
Result so far: 4446.2682926
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.

Advancing to step 14:
When dividing 340 by 41, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 4446.26829268
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 4446.26829268 with a remaining 1.2e-08.