71577807 ÷ 585 
The aim is to understand the frequency of 585 in 71577807.

Let's proceed to step 1:
585 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 585

Going ahead to step 2:
The number 585 fits into 71 0 times, leaving a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Bring next digit (5) of the dividend behind the 71 and repeat the process: 715 / 585

Going ahead to step 3:
The number 585 fits into 715 1 times, leaving a remainder of 130.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 585 from 715, we get 130.
Fetch the next digit (7) from the dividend, attach it to 130 and continue: 1307 / 585

Going ahead to step 4:
The number 585 fits into 1307 2 times, leaving a remainder of 137.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 1170 from 1307 to get 137.
Grab the next digit (7) from the dividend, add it to 137, then carry on: 1377 / 585

On to step 5:
585 can be fit into 1377 2 times, resulting in a remainder of 207.
The number 2 becomes the next digit in our result. 
Result so far: 122.0
The remainder is 207 after subtracting 1170 from 1377.
Grab the next digit (8) from the dividend, add it to 207, then carry on: 2078 / 585

Advancing to step 6:
585 can be fit into 2078 3 times, resulting in a remainder of 323.
The number 3 becomes the next digit in our result. 
Result so far: 1223.0
If we take 1755 away from 2078, we end up with 323.
Include the next digit (0) from the dividend after 323, then repeat: 3230 / 585

Let's proceed to step 7:
When dividing 3230 by 585, we get 5 with a remainder of 305.
Record the quotient 5 as the next digit in the result. 
Result so far: 12235.0
Deduct 2925 from 3230 and we're left with 305.
Take the next digit (7) from the dividend and append it to 305, then repeat: 3057 / 585

Step 8:
585 goes into 3057 5 times with a remainder of 132.
Write down 5 as next digit of the result. 
Result so far: 122355.0
Subtracting 2925 from 3057 leaves us with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Moving on to step 9:
If we divide 1320 by 585, we get 2 and a remainder of 150.
Put 2 as the next digit of the answer. 
Result so far: 122355.2
Deduct 1170 from 1320 and we're left with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Step 10:
1500 divided by 585 is 2 with a remainder of 330.
Put 2 as the next digit of the answer. 
Result so far: 122355.22
Deduct 1170 from 1500 and we're left with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

In conclusion, the division gives 122355.22 with a balance of 0.33.