581980 ÷ 41 
The aim is to understand the frequency of 41 in 581980.

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
The remainder is 5 after subtracting 0 from 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 41

Let's proceed to step 2:
58 divided by 41 is 1 with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 17 after subtracting 41 from 58.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 41

Advancing to step 3:
If we divide 171 by 41, we get 4 and a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 164 away from 171, we end up with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 41

Moving on to step 4:
When dividing 79 by 41, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 141.0
The remainder is 38 after subtracting 41 from 79.
Bring next digit (8) of the dividend behind the 38 and repeat the process: 388 / 41

Advancing to step 5:
388 divided by 41 is 9 with a remainder of 19.
Put 9 as the next digit of the answer. 
Result so far: 1419.0
If we take 369 away from 388, we end up with 19.
Bring next digit (0) of the dividend behind the 19 and repeat the process: 190 / 41

Step 6:
190 divided by 41 is 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 14194.0
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.

Let's proceed to step 7:
41 can be fit into 260 6 times, resulting in a remainder of 14.
The next digit of our result is 6. 
Result so far: 14194.6
The remainder is 14 after subtracting 246 from 260.
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 8:
41 goes into 140 3 times with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 14194.63
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
41 goes into 170 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 14194.634
If we subtract 164 from 170, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
60 divided by 41 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 14194.6341
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 11:
When dividing 190 by 41, we get 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 14194.63414
Deduct 164 from 190 and we're left 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.

Moving on to step 12:
260 divided by 41 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 14194.634146
Subtracting 246 from 260 leaves us 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.

Let's proceed to step 13:
If we divide 140 by 41, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 14194.6341463
If we subtract 123 from 140, we get 17.
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 14:
When dividing 170 by 41, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 14194.63414634
Subtract 164 from 170 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 14194.63414634 and a remainder of 6e-09.