We look at the division of 704081 by 41 
The aim is to understand the frequency of 41 in 704081.

On to step 1:
7 divided by 41 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 41

Advancing to step 2:
The number 41 fits into 70 1 times, leaving a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 41 away from 70, we end up with 29.
Bring next digit (4) of the dividend behind the 29 and repeat the process: 294 / 41

Moving on to step 3:
If we divide 294 by 41, we get 7 and a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 17.0
The remainder is 7 after subtracting 287 from 294.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 41

Going ahead to step 4:
41 can be fit into 70 1 times, resulting in a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 171.0
The remainder is 29 after subtracting 41 from 70.
Bring next digit (8) of the dividend behind the 29 and repeat the process: 298 / 41

On to step 5:
41 can be fit into 298 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 1717.0
The remainder is 11 after subtracting 287 from 298.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 41

Step 6:
111 divided by 41 is 2 with a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 17172.0
If we subtract 82 from 111, 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.

Moving on to step 7:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 17172.7
If we take 287 away from 290, we end up 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.

On to step 8:
When dividing 30 by 41, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 17172.7
If we take 0 away from 30, we end up 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.

Moving on to step 9:
When dividing 300 by 41, we get 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 17172.707
Subtract 287 from 300 to 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.

Step 10:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 17172.7073
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
When dividing 70 by 41, we get 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 17172.70731
Subtracting 41 from 70 leaves us 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.

Going ahead to step 12:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 17172.707317
The remainder is 3 after subtracting 287 from 290.
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 13:
41 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 17172.707317
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.

Advancing to step 14:
300 divided by 41 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 17172.70731707
Subtracting 287 from 300 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 17172.70731707 and a remainder of 1.3e-08.