78831 ÷ 41 
The aim is to understand the frequency of 41 in 78831.

Step 1:
41 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 41

Let's proceed to step 2:
78 divided by 41 is 1 with a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 37 after subtracting 41 from 78.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 41

Moving on to step 3:
The number 41 fits into 378 9 times, leaving a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 19.0
The remainder is 9 after subtracting 369 from 378.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 41

Advancing to step 4:
93 divided by 41 is 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 192.0
Subtract 82 from 93 to get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 41

Moving on to step 5:
If we divide 111 by 41, we get 2 and a remainder of 29.
Put 2 as the next digit of the answer. 
Result so far: 1922.0
Deduct 82 from 111 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 6:
When dividing 290 by 41, we get 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 1922.7
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
41 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 1922.7
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
If we divide 300 by 41, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 1922.707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
41 goes into 130 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1922.7073
Subtract 123 from 130 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
41 can be fit into 70 1 times, resulting in a remainder of 29.
The next digit of our result is 1. 
Result so far: 1922.70731
If we subtract 41 from 70, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 11:
If we divide 290 by 41, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 1922.707317
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
41 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1922.707317
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
If we divide 300 by 41, we get 7 and a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 1922.70731707
If we subtract 287 from 300, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 1922.70731707 with a remainder of 1.3e-08.