567110 ÷ 66 
The aim is to understand the frequency of 66 in 567110.

Let's proceed to step 1:
66 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 66

Step 2:
The number 66 fits into 56 0 times, leaving a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Bring next digit (7) of the dividend behind the 56 and repeat the process: 567 / 66

Advancing to step 3:
The number 66 fits into 567 8 times, leaving a remainder of 39.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 528 away from 567, we end up with 39.
Include the next digit (1) from the dividend after 39, then repeat: 391 / 66

Step 4:
If we divide 391 by 66, we get 5 and a remainder of 61.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtract 330 from 391 to get 61.
Take the next digit (1) from the dividend and append it to 61, then repeat: 611 / 66

Advancing to step 5:
If we divide 611 by 66, we get 9 and a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 859.0
The remainder is 17 after subtracting 594 from 611.
Take the next digit (0) from the dividend and append it to 17, then repeat: 170 / 66

Step 6:
170 divided by 66 is 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 8592.0
Subtracting 132 from 170 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
The number 66 fits into 380 5 times, leaving a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 8592.5
If we subtract 330 from 380, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
500 divided by 66 is 7 with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 8592.57
If we subtract 462 from 500, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 9:
If we divide 380 by 66, we get 5 and a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 8592.575
Deduct 330 from 380 and we're left 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:
66 goes into 500 7 times with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 8592.5757
Subtracting 462 from 500 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 11:
When dividing 380 by 66, we get 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 8592.57575
Deduct 330 from 380 and we're left 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.

On to step 12:
66 can be fit into 500 7 times, resulting in a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 8592.575757
Subtract 462 from 500 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 13:
If we divide 380 by 66, we get 5 and a remainder of 50.
The next digit of our result is 5. 
Result so far: 8592.5757575
The remainder is 50 after subtracting 330 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 14:
When dividing 500 by 66, we get 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 8592.57575757
If we subtract 462 from 500, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 8592.57575757 and a remainder of 3.8e-08.