665410 ÷ 41 
The aim is to understand the frequency of 41 in 665410.

Let's proceed to step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 41

On to step 2:
When dividing 66 by 41, we get 1 with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 41 from 66 leaves us with 25.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 41

Let's proceed to step 3:
When dividing 255 by 41, we get 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtracting 246 from 255 leaves us with 9.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 41

Going ahead to step 4:
The number 41 fits into 94 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 162.0
Subtract 82 from 94 to get 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 41

On to step 5:
When dividing 121 by 41, we get 2 with a remainder of 39.
The number 2 becomes the next digit in our result. 
Result so far: 1622.0
Subtract 82 from 121 to get 39.
Include the next digit (0) from the dividend after 39, then repeat: 390 / 41

Moving on to step 6:
41 can be fit into 390 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 16229.0
Deduct 369 from 390 and we're left 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 7:
210 divided by 41 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 16229.5
Deduct 205 from 210 and we're left 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.

Step 8:
When dividing 50 by 41, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 16229.51
Subtracting 41 from 50 leaves us 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.

Going ahead to step 9:
41 can be fit into 90 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 16229.512
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.

Advancing to step 10:
When dividing 80 by 41, we get 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 16229.5121
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.

On to step 11:
When dividing 390 by 41, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 16229.51219
The remainder is 21 after subtracting 369 from 390.
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 12:
41 goes into 210 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 16229.512195
Deduct 205 from 210 and we're left 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.

Going ahead to step 13:
41 goes into 50 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 16229.5121951
The remainder is 9 after subtracting 41 from 50.
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 14:
41 goes into 90 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 16229.51219512
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.

After the division, we end up with 16229.51219512 and a remainder of 8e-09.