435930 ÷ 41 
The aim is to understand the frequency of 41 in 435930.

Advancing to step 1:
When dividing 4 by 41, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 41

Going ahead to step 2:
The number 41 fits into 43 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 2 after subtracting 41 from 43.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 41

Advancing to step 3:
When dividing 25 by 41, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 25 and we're left with 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 41

Advancing to step 4:
259 divided by 41 is 6 with a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
Deduct 246 from 259 and we're left with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 41

Step 5:
41 goes into 133 3 times with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 1063.0
Deduct 123 from 133 and we're left with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 41

Let's proceed to step 6:
41 goes into 100 2 times with a remainder of 18.
The next digit of our result is 2. 
Result so far: 10632.0
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
When dividing 180 by 41, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 10632.4
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
41 goes into 160 3 times with a remainder of 37.
The next digit of our result is 3. 
Result so far: 10632.43
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 9:
41 goes into 370 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 10632.439
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
41 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10632.439
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
If we divide 100 by 41, we get 2 and a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 10632.43902
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
When dividing 180 by 41, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 10632.439024
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
If we divide 160 by 41, we get 3 and a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 10632.4390243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 14:
41 goes into 370 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 10632.43902439
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final outcome is 10632.43902439, with a leftover of 1e-09.