165592 ÷ 41 
The aim is to understand the frequency of 41 in 165592.

Step 1:
41 can be fit into 1 0 times, resulting in 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.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 41

Step 2:
When dividing 16 by 41, we get 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 16 leaves us with 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 41

Moving on to step 3:
165 divided by 41 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 164 from 165, we get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 41

Advancing to step 4:
The number 41 fits into 15 0 times, leaving a remainder of 15.
The next digit of our result is 0. 
Result so far: 40.0
Deduct 0 from 15 and we're left with 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 41

Advancing to step 5:
The number 41 fits into 159 3 times, leaving a remainder of 36.
Write down 3 as next digit of the result. 
Result so far: 403.0
Deduct 123 from 159 and we're left with 36.
Append the next digit (2) from the dividend to 36 and continue with: 362 / 41

On to step 6:
If we divide 362 by 41, we get 8 and a remainder of 34.
Write down 8 as next digit of the result. 
Result so far: 4038.0
Deduct 328 from 362 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
The number 41 fits into 340 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 4038.8
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 4038.82
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 9:
When dividing 380 by 41, we get 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 4038.829
If we take 369 away from 380, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 4038.8292
Subtracting 82 from 110 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 11:
When dividing 280 by 41, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 4038.82926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 12:
When dividing 340 by 41, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 4038.829268
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 4038.8292682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 14:
41 can be fit into 380 9 times, resulting in a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 4038.82926829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 4038.82926829 with a remainder of 1.1e-08.