335665 ÷ 41 
The aim is to understand the frequency of 41 in 335665.

Moving on to step 1:
41 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 41

Step 2:
33 divided by 41 is 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Append the next digit (5) from the dividend to 33 and continue with: 335 / 41

Moving on to step 3:
41 can be fit into 335 8 times, resulting in a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 328 from 335 to get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 41

On to step 4:
If we divide 76 by 41, we get 1 and a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 81.0
If we take 41 away from 76, we end up with 35.
Bring next digit (6) of the dividend behind the 35 and repeat the process: 356 / 41

Step 5:
356 divided by 41 is 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 818.0
If we take 328 away from 356, we end up with 28.
Bring next digit (5) of the dividend behind the 28 and repeat the process: 285 / 41

Going ahead to step 6:
The number 41 fits into 285 6 times, leaving a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 8186.0
If we subtract 246 from 285, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
The number 41 fits into 390 9 times, leaving a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 8186.9
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
When dividing 210 by 41, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8186.95
If we take 205 away from 210, 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.

Advancing to step 9:
41 goes into 50 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 8186.951
Deduct 41 from 50 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 8186.9512
Subtracting 82 from 90 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
41 goes into 80 1 times with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 8186.95121
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 12:
If we divide 390 by 41, we get 9 and a remainder of 21.
The next digit of our result is 9. 
Result so far: 8186.951219
If we take 369 away from 390, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 13:
If we divide 210 by 41, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8186.9512195
The remainder is 5 after subtracting 205 from 210.
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 14:
When dividing 50 by 41, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 8186.95121951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 8186.95121951 with a remaining 9e-09.