We're dividing 116871 by 41 
The aim is to understand the frequency of 41 in 116871.

Going ahead to step 1:
The number 41 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 41

Going ahead to step 2:
The number 41 fits into 11 0 times, leaving a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 41

Let's proceed to step 3:
When dividing 116 by 41, we get 2 with a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 82 from 116 and we're left with 34.
Grab the next digit (8) from the dividend, add it to 34, then carry on: 348 / 41

Moving on to step 4:
348 divided by 41 is 8 with a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 28.0
Subtract 328 from 348 to get 20.
Bring next digit (7) of the dividend behind the 20 and repeat the process: 207 / 41

Going ahead to step 5:
The number 41 fits into 207 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 285.0
Subtracting 205 from 207 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 41

Moving on to step 6:
41 goes into 21 0 times with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 2850.0
If we subtract 0 from 21, 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.

On to step 7:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2850.5
If we subtract 205 from 210, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
41 goes into 50 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 2850.51
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.

Step 9:
When dividing 90 by 41, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 2850.512
If we take 82 away from 90, we end up 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.

Step 10:
When dividing 80 by 41, we get 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 2850.5121
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.

Let's proceed to step 11:
390 divided by 41 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 2850.51219
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.

Step 12:
If we divide 210 by 41, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 2850.512195
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
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: 2850.5121951
Subtract 41 from 50 to 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 14:
41 goes into 90 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2850.51219512
If we subtract 82 from 90, we 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.

The final outcome is 2850.51219512, with a leftover of 8e-09.