Let's divide 434940 by 41
The aim is to understand the frequency of 41 in 434940.

Step 1:
4 divided by 41 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 41

Step 2:
When dividing 43 by 41, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 41 from 43, we get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 41

Moving on to step 3:
The number 41 fits into 24 0 times, leaving a remainder of 24.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 24, we end up with 24.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 41

Advancing to step 4:
41 can be fit into 249 6 times, resulting in a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 106.0
If we subtract 246 from 249, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 41

Going ahead to step 5:
If we divide 34 by 41, we get 0 and a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 1060.0
Subtracting 0 from 34 leaves us with 34.
Append the next digit (0) from the dividend to 34 and continue with: 340 / 41

Advancing to step 6:
340 divided by 41 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 10608.0
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.

Let's proceed to step 7:
41 goes into 120 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 10608.2
Deduct 82 from 120 and we're left 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.

Step 8:
41 goes into 380 9 times with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 10608.29
If we take 369 away from 380, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
If we divide 110 by 41, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 10608.292
Subtract 82 from 110 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 10:
41 can be fit into 280 6 times, resulting in a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 10608.2926
Deduct 246 from 280 and we're left 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.

Going ahead to step 11:
If we divide 340 by 41, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 10608.29268
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.

Advancing to step 12:
41 goes into 120 2 times with a remainder of 38.
The next digit of our result is 2. 
Result so far: 10608.292682
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 13:
The number 41 fits into 380 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 10608.2926829
Deduct 369 from 380 and we're left with 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 14:
41 can be fit into 110 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 10608.29268292
Subtract 82 from 110 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 10608.29268292, with a leftover of 2.8e-08.