We're dividing 84235 by 41 
The aim is to understand the frequency of 41 in 84235.

Step 1:
41 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 41

Advancing to step 2:
84 divided by 41 is 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 82 from 84 leaves us with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 41

Moving on to step 3:
41 goes into 22 0 times with a remainder of 22.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 22, we get 22.
Take the next digit (3) from the dividend and append it to 22, then repeat: 223 / 41

Going ahead to step 4:
The number 41 fits into 223 5 times, leaving a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 205.0
If we take 205 away from 223, we end up with 18.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 41

Going ahead to step 5:
The number 41 fits into 185 4 times, leaving a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 2054.0
If we subtract 164 from 185, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 6:
If we divide 210 by 41, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 2054.5
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.

Moving on to step 7:
When dividing 50 by 41, we get 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 2054.51
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.

On to step 8:
The number 41 fits into 90 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 2054.512
Subtract 82 from 90 to get 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 9:
If we divide 80 by 41, we get 1 and a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 2054.5121
If we take 41 away from 80, we end up 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.

On to step 10:
The number 41 fits into 390 9 times, leaving a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 2054.51219
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.

Moving on to step 11:
41 goes into 210 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 2054.512195
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.

Step 12:
If we divide 50 by 41, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 2054.5121951
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.

Step 13:
41 can be fit into 90 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 2054.51219512
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.

After the division, we end up with 2054.51219512 and a remainder of 8e-09.