314200 divided by 41 
The aim is to understand the frequency of 41 in 314200.

Step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 41

Going ahead to step 2:
When dividing 31 by 41, we get 0 with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Grab the next digit (4) from the dividend, add it to 31, then carry on: 314 / 41

Going ahead to step 3:
314 divided by 41 is 7 with a remainder of 27.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 287 from 314 and we're left with 27.
Append the next digit (2) from the dividend to 27 and continue with: 272 / 41

Going ahead to step 4:
The number 41 fits into 272 6 times, leaving a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Deduct 246 from 272 and we're left with 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 41

On to step 5:
If we divide 260 by 41, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 766.0
Subtract 246 from 260 to get 14.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 41

Moving on to step 6:
41 goes into 140 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 7663.0
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
If we divide 170 by 41, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 7663.4
Subtracting 164 from 170 leaves us 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 8:
41 goes into 60 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 7663.41
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.

Advancing to step 9:
41 goes into 190 4 times with a remainder of 26.
The next digit of our result is 4. 
Result so far: 7663.414
Subtract 164 from 190 to get 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 10:
41 goes into 260 6 times with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 7663.4146
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.

Going ahead to step 11:
When dividing 140 by 41, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 7663.41463
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
If we divide 170 by 41, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 7663.414634
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 13:
60 divided by 41 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 7663.4146341
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.

Going ahead to step 14:
When dividing 190 by 41, we get 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 7663.41463414
Subtracting 164 from 190 leaves us 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.

After the division, we end up with 7663.41463414 and a remainder of 2.6e-08.