Let's divide 414 by 41
The aim is to understand the frequency of 41 in 414.

Advancing to step 1:
4 divided by 41 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 41

Advancing to step 2:
41 goes into 41 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 41 from 41 leaves us with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 41

Advancing to step 3:
If we divide 4 by 41, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 4, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 4:
40 divided by 41 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 5:
41 goes into 400 9 times with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 10.09
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 6:
When dividing 310 by 41, we get 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 10.097
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
230 divided by 41 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 10.0975
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
The number 41 fits into 250 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 10.09756
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
41 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 10.09756
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
The number 41 fits into 400 9 times, leaving a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 10.0975609
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 11:
When dividing 310 by 41, we get 7 with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 10.09756097
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

In conclusion, the division gives 10.09756097 with a balance of 2.3e-08.