138969 divided by 41 
The aim is to understand the frequency of 41 in 138969.

Let's proceed to step 1:
41 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 41

Step 2:
41 can be fit into 13 0 times, resulting in a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 41

Let's proceed to step 3:
When dividing 138 by 41, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 123 away from 138, we end up with 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 41

On to step 4:
When dividing 159 by 41, we get 3 with a remainder of 36.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtract 123 from 159 to get 36.
Fetch the next digit (6) from the dividend, attach it to 36 and continue: 366 / 41

Going ahead to step 5:
If we divide 366 by 41, we get 8 and a remainder of 38.
Use 8 as the next digit of our solution. 
Result so far: 338.0
If we subtract 328 from 366, we get 38.
Include the next digit (9) from the dividend after 38, then repeat: 389 / 41

Going ahead to step 6:
If we divide 389 by 41, we get 9 and a remainder of 20.
Put 9 as the next digit of the answer. 
Result so far: 3389.0
Deduct 369 from 389 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
41 can be fit into 200 4 times, resulting in a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 3389.4
If we subtract 164 from 200, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
If we divide 360 by 41, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 3389.48
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
41 can be fit into 320 7 times, resulting in a remainder of 33.
The next digit of our result is 7. 
Result so far: 3389.487
The remainder is 33 after subtracting 287 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 10:
41 can be fit into 330 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 3389.4878
The remainder is 2 after subtracting 328 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
20 divided by 41 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 3389.4878
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
When dividing 200 by 41, we get 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 3389.487804
Subtracting 164 from 200 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 13:
If we divide 360 by 41, we get 8 and a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 3389.4878048
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 14:
The number 41 fits into 320 7 times, leaving a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 3389.48780487
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 3389.48780487 with a remaining 3.3e-08.