We look at the division of 42961761 by 581 
The aim is to understand the frequency of 581 in 42961761.

Moving on to step 1:
581 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 581

Step 2:
If we divide 42 by 581, we get 0 and a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Append the next digit (9) from the dividend to 42 and continue with: 429 / 581

On to step 3:
429 divided by 581 is 0 with a remainder of 429.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 429 after subtracting 0 from 429.
Fetch the next digit (6) from the dividend, attach it to 429 and continue: 4296 / 581

Going ahead to step 4:
If we divide 4296 by 581, we get 7 and a remainder of 229.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 4067 from 4296, we get 229.
Grab the next digit (1) from the dividend, add it to 229, then carry on: 2291 / 581

Going ahead to step 5:
The number 581 fits into 2291 3 times, leaving a remainder of 548.
Write down 3 as next digit of the result. 
Result so far: 73.0
Deduct 1743 from 2291 and we're left with 548.
Include the next digit (7) from the dividend after 548, then repeat: 5487 / 581

Let's proceed to step 6:
5487 divided by 581 is 9 with a remainder of 258.
Use 9 as the next digit of our solution. 
Result so far: 739.0
If we subtract 5229 from 5487, we get 258.
Include the next digit (6) from the dividend after 258, then repeat: 2586 / 581

Let's proceed to step 7:
2586 divided by 581 is 4 with a remainder of 262.
The next digit of our result is 4. 
Result so far: 7394.0
If we subtract 2324 from 2586, we get 262.
Fetch the next digit (1) from the dividend, attach it to 262 and continue: 2621 / 581

Let's proceed to step 8:
581 can be fit into 2621 4 times, resulting in a remainder of 297.
The number 4 becomes the next digit in our result. 
Result so far: 73944.0
If we take 2324 away from 2621, we end up with 297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Let's proceed to step 9:
The number 581 fits into 2970 5 times, leaving a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 73944.5
The remainder is 65 after subtracting 2905 from 2970.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 10:
The number 581 fits into 650 1 times, leaving a remainder of 69.
The number 1 becomes the next digit in our result. 
Result so far: 73944.51
Subtracting 581 from 650 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 11:
When dividing 690 by 581, we get 1 with a remainder of 109.
The next digit of our result is 1. 
Result so far: 73944.511
Deduct 581 from 690 and we're left with 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

The quotient of the division is 73944.511, and the remainder is 0.0109.