Let's divide 335713 by 41
The aim is to understand the frequency of 41 in 335713.

Going ahead to step 1:
When dividing 3 by 41, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 41

Moving on to step 2:
When dividing 33 by 41, we get 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Append the next digit (5) from the dividend to 33 and continue with: 335 / 41

Step 3:
The number 41 fits into 335 8 times, leaving a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 328 from 335, we get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 41

Let's proceed to step 4:
When dividing 77 by 41, we get 1 with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 81.0
If we subtract 41 from 77, we get 36.
Bring next digit (1) of the dividend behind the 36 and repeat the process: 361 / 41

Let's proceed to step 5:
41 can be fit into 361 8 times, resulting in a remainder of 33.
The number 8 becomes the next digit in our result. 
Result so far: 818.0
The remainder is 33 after subtracting 328 from 361.
Take the next digit (3) from the dividend and append it to 33, then repeat: 333 / 41

Moving on to step 6:
The number 41 fits into 333 8 times, leaving a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 8188.0
If we subtract 328 from 333, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
The number 41 fits into 50 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 8188.1
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.

Let's proceed to step 8:
When dividing 90 by 41, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 8188.12
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 9:
80 divided by 41 is 1 with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 8188.121
Subtract 41 from 80 to 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.

Advancing to step 10:
41 goes into 390 9 times with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 8188.1219
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.

Step 11:
If we divide 210 by 41, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 8188.12195
Subtracting 205 from 210 leaves us 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.

Let's proceed to step 12:
41 can be fit into 50 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 8188.121951
If we subtract 41 from 50, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
90 divided by 41 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 8188.1219512
Deduct 82 from 90 and we're left 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.

Moving on to step 14:
41 can be fit into 80 1 times, resulting in a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 8188.12195121
If we subtract 41 from 80, 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.

The final result is 8188.12195121 with a remainder of 3.9e-08.