697664 divided by 66 
The aim is to understand the frequency of 66 in 697664.

Advancing to step 1:
When dividing 6 by 66, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 66

Step 2:
66 can be fit into 69 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 66 from 69 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 66

Advancing to step 3:
If we divide 37 by 66, we get 0 and a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 37 leaves us with 37.
Include the next digit (6) from the dividend after 37, then repeat: 376 / 66

On to step 4:
The number 66 fits into 376 5 times, leaving a remainder of 46.
Use 5 as the next digit of our solution. 
Result so far: 105.0
If we subtract 330 from 376, we get 46.
Bring next digit (6) of the dividend behind the 46 and repeat the process: 466 / 66

Going ahead to step 5:
When dividing 466 by 66, we get 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 1057.0
Subtract 462 from 466 to get 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 66

Going ahead to step 6:
When dividing 44 by 66, we get 0 with a remainder of 44.
Use 0 as the next digit of our solution. 
Result so far: 10570.0
The remainder is 44 after subtracting 0 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
66 goes into 440 6 times with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 10570.6
The remainder is 44 after subtracting 396 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
When dividing 440 by 66, we get 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 10570.66
If we subtract 396 from 440, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final outcome is 10570.66, with a leftover of 0.044.