581305 ÷ 66 
The aim is to understand the frequency of 66 in 581305.

Moving on to step 1:
The number 66 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 66

Advancing to step 2:
If we divide 58 by 66, we get 0 and a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Bring next digit (1) of the dividend behind the 58 and repeat the process: 581 / 66

Step 3:
If we divide 581 by 66, we get 8 and a remainder of 53.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 528 from 581 to get 53.
Bring next digit (3) of the dividend behind the 53 and repeat the process: 533 / 66

Moving on to step 4:
The number 66 fits into 533 8 times, leaving a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 88.0
If we take 528 away from 533, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 66

Step 5:
When dividing 50 by 66, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 880.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (5) from the dividend, add it to 50, then carry on: 505 / 66

Step 6:
If we divide 505 by 66, we get 7 and a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 8807.0
The remainder is 43 after subtracting 462 from 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 7:
When dividing 430 by 66, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 8807.6
Deduct 396 from 430 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
When dividing 340 by 66, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8807.65
Subtract 330 from 340 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
66 goes into 100 1 times with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 8807.651
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
When dividing 340 by 66, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 8807.6515
The remainder is 10 after subtracting 330 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
100 divided by 66 is 1 with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 8807.65151
If we take 66 away from 100, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
If we divide 340 by 66, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 8807.651515
Subtract 330 from 340 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
If we divide 100 by 66, we get 1 and a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 8807.6515151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 14:
When dividing 340 by 66, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 8807.65151515
Subtract 330 from 340 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 8807.65151515 with a remainder of 1e-08.