Let's divide 77950 by 41
The aim is to understand the frequency of 41 in 77950.

Going ahead to step 1:
If we divide 7 by 41, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 41

Let's proceed to step 2:
77 divided by 41 is 1 with a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 41 from 77 and we're left with 36.
Bring next digit (9) of the dividend behind the 36 and repeat the process: 369 / 41

Advancing to step 3:
If we divide 369 by 41, we get 9 and a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
The remainder is 0 after subtracting 369 from 369.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 41

Going ahead to step 4:
41 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 190.0
If we take 0 away from 5, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 41

Step 5:
If we divide 50 by 41, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1901.0
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.

Advancing to step 6:
If we divide 90 by 41, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 1901.2
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 7:
When dividing 80 by 41, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 1901.21
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 8:
390 divided by 41 is 9 with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 1901.219
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.

Moving on to step 9:
41 goes into 210 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 1901.2195
If we take 205 away from 210, we end up 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 10:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1901.21951
Deduct 41 from 50 and we're left 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 11:
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: 1901.219512
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 12:
41 can be fit into 80 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1901.2195121
Subtracting 41 from 80 leaves us with 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 13:
41 goes into 390 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 1901.21951219
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.

In conclusion, the division gives 1901.21951219 with a balance of 2.1e-08.