589526 divided by 41 
The aim is to understand the frequency of 41 in 589526.

Moving on to step 1:
The number 41 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 41

Going ahead to step 2:
41 can be fit into 58 1 times, resulting in a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 41 from 58 and we're left with 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 41

Step 3:
If we divide 179 by 41, we get 4 and a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 164 from 179 to get 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 41

Advancing to step 4:
155 divided by 41 is 3 with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 143.0
Subtracting 123 from 155 leaves us with 32.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 41

Going ahead to step 5:
The number 41 fits into 322 7 times, leaving a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 1437.0
If we take 287 away from 322, we end up with 35.
Append the next digit (6) from the dividend to 35 and continue with: 356 / 41

Step 6:
The number 41 fits into 356 8 times, leaving a remainder of 28.
The next digit of our result is 8. 
Result so far: 14378.0
Deduct 328 from 356 and we're left 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.

Let's proceed to step 7:
If we divide 280 by 41, we get 6 and a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 14378.6
Subtract 246 from 280 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
When dividing 340 by 41, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 14378.68
If we subtract 328 from 340, we 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.

On to step 9:
The number 41 fits into 120 2 times, leaving a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 14378.682
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 10:
41 goes into 380 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 14378.6829
Deduct 369 from 380 and we're left 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 11:
41 goes into 110 2 times with a remainder of 28.
The next digit of our result is 2. 
Result so far: 14378.68292
If we take 82 away from 110, we end up 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.

Moving on to step 12:
41 goes into 280 6 times with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 14378.682926
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
41 can be fit into 340 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 14378.6829268
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
If we divide 120 by 41, we get 2 and a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 14378.68292682
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 14378.68292682 with a balance of 3.8e-08.