340725 divided by 41 
The aim is to understand the frequency of 41 in 340725.

Step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 41

Moving on to step 2:
34 divided by 41 is 0 with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Grab the next digit (0) from the dividend, add it to 34, then carry on: 340 / 41

Going ahead to step 3:
The number 41 fits into 340 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 328 from 340 to get 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 41

Let's proceed to step 4:
If we divide 127 by 41, we get 3 and a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 83.0
If we take 123 away from 127, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 41

Step 5:
When dividing 42 by 41, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 831.0
Subtract 41 from 42 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 41

Moving on to step 6:
41 goes into 15 0 times with a remainder of 15.
The next digit of our result is 0. 
Result so far: 8310.0
The remainder is 15 after subtracting 0 from 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
41 goes into 150 3 times with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 8310.3
Subtracting 123 from 150 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
When dividing 270 by 41, we get 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 8310.36
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
41 goes into 240 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 8310.365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
If we divide 350 by 41, we get 8 and a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 8310.3658
Deduct 328 from 350 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
220 divided by 41 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 8310.36585
If we take 205 away from 220, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
If we divide 150 by 41, we get 3 and a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 8310.365853
If we take 123 away from 150, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 13:
41 goes into 270 6 times with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 8310.3658536
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
240 divided by 41 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 8310.36585365
If we take 205 away from 240, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 8310.36585365 with a remainder of 3.5e-08.