587668 divided by 41 
The aim is to understand the frequency of 41 in 587668.

Moving on to step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 41

Step 2:
If we divide 58 by 41, we get 1 and a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 41 from 58 leaves us with 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 41

Advancing to step 3:
41 can be fit into 177 4 times, resulting in a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we take 164 away from 177, we end up with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 41

Let's proceed to step 4:
136 divided by 41 is 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 143.0
Deduct 123 from 136 and we're left with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 41

Moving on to step 5:
When dividing 136 by 41, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 1433.0
If we subtract 123 from 136, we get 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 41

Advancing to step 6:
When dividing 138 by 41, we get 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 14333.0
The remainder is 15 after subtracting 123 from 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
41 goes into 150 3 times with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 14333.3
Deduct 123 from 150 and we're left 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 8:
41 can be fit into 270 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 14333.36
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.

On to step 9:
240 divided by 41 is 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 14333.365
Subtracting 205 from 240 leaves us 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.

Moving on to step 10:
350 divided by 41 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 14333.3658
If we take 328 away from 350, we end up 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.

Let's proceed to step 11:
If we divide 220 by 41, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 14333.36585
Subtracting 205 from 220 leaves us 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.

Moving on to step 12:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 14333.365853
Deduct 123 from 150 and we're left 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.

Step 13:
41 can be fit into 270 6 times, resulting in a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 14333.3658536
Subtract 246 from 270 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 14:
When dividing 240 by 41, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 14333.36585365
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 outcome is 14333.36585365, with a leftover of 3.5e-08.