We're dividing 41311429 by 581 
The aim is to understand the frequency of 581 in 41311429.

Advancing to step 1:
The number 581 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 581

Moving on to step 2:
41 divided by 581 is 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 581

Let's proceed to step 3:
581 goes into 413 0 times with a remainder of 413.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 413 and we're left with 413.
Take the next digit (1) from the dividend and append it to 413, then repeat: 4131 / 581

Advancing to step 4:
If we divide 4131 by 581, we get 7 and a remainder of 64.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 4067 from 4131 and we're left with 64.
Grab the next digit (1) from the dividend, add it to 64, then carry on: 641 / 581

Moving on to step 5:
581 goes into 641 1 times with a remainder of 60.
The next digit of our result is 1. 
Result so far: 71.0
Subtracting 581 from 641 leaves us with 60.
Grab the next digit (4) from the dividend, add it to 60, then carry on: 604 / 581

Going ahead to step 6:
581 can be fit into 604 1 times, resulting in a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 711.0
If we subtract 581 from 604, we get 23.
Fetch the next digit (2) from the dividend, attach it to 23 and continue: 232 / 581

Let's proceed to step 7:
When dividing 232 by 581, we get 0 with a remainder of 232.
Use 0 as the next digit of our solution. 
Result so far: 7110.0
Subtracting 0 from 232 leaves us with 232.
Bring next digit (9) of the dividend behind the 232 and repeat the process: 2329 / 581

On to step 8:
If we divide 2329 by 581, we get 4 and a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 71104.0
Subtract 2324 from 2329 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
If we divide 50 by 581, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 71104.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
500 divided by 581 is 0 with a remainder of 500.
The next digit of our result is 0. 
Result so far: 71104.0
The remainder is 500 after subtracting 0 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

The final result is 71104.0 with a remainder of 0.5.