We divide 101112 by 41
The aim is to understand the frequency of 41 in 101112.

Let's proceed to step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 41

Let's proceed to step 2:
When dividing 10 by 41, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 41

Moving on to step 3:
When dividing 101 by 41, we get 2 with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 82 away from 101, we end up with 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 41

On to step 4:
41 goes into 191 4 times with a remainder of 27.
Write down 4 as next digit of the result. 
Result so far: 24.0
If we take 164 away from 191, we end up with 27.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 41

Let's proceed to step 5:
41 can be fit into 271 6 times, resulting in a remainder of 25.
Write down 6 as next digit of the result. 
Result so far: 246.0
Subtract 246 from 271 to get 25.
Take the next digit (2) from the dividend and append it to 25, then repeat: 252 / 41

Moving on to step 6:
If we divide 252 by 41, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 2466.0
Deduct 246 from 252 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
41 goes into 60 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 2466.1
The remainder is 19 after subtracting 41 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 8:
190 divided by 41 is 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 2466.14
If we take 164 away from 190, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
41 goes into 260 6 times with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 2466.146
If we take 246 away from 260, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
The number 41 fits into 140 3 times, leaving a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 2466.1463
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 11:
170 divided by 41 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 2466.14634
If we take 164 away from 170, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
When dividing 60 by 41, we get 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 2466.146341
Subtract 41 from 60 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 13:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 2466.1463414
The remainder is 26 after subtracting 164 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
The number 41 fits into 260 6 times, leaving a remainder of 14.
The next digit of our result is 6. 
Result so far: 2466.14634146
Deduct 246 from 260 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 2466.14634146, with a leftover of 1.4e-08.