We divide 165310 by 41
The aim is to understand the frequency of 41 in 165310.

Let's proceed to step 1:
41 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 41

Moving on to step 2:
41 can be fit into 16 0 times, resulting in a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Bring next digit (5) of the dividend behind the 16 and repeat the process: 165 / 41

Going ahead to step 3:
41 can be fit into 165 4 times, resulting in a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 164 from 165 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 41

Moving on to step 4:
13 divided by 41 is 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
If we subtract 0 from 13, we get 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 41

Going ahead to step 5:
41 goes into 131 3 times with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 403.0
The remainder is 8 after subtracting 123 from 131.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 41

Moving on to step 6:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 4031.0
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
390 divided by 41 is 9 with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 4031.9
Subtract 369 from 390 to 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 8:
41 goes into 210 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4031.95
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 4031.951
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.

Let's proceed to step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 4031.9512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
When dividing 80 by 41, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 4031.95121
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 12:
The number 41 fits into 390 9 times, leaving a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 4031.951219
If we take 369 away from 390, we end up 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.

Moving on to step 13:
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: 4031.9512195
Deduct 205 from 210 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
41 goes into 50 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 4031.95121951
Subtracting 41 from 50 leaves us 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.

In conclusion, the division gives 4031.95121951 with a balance of 9e-09.