7765321 ÷ 666 
The aim is to understand the frequency of 666 in 7765321.

Going ahead to step 1:
666 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 666

Advancing to step 2:
When dividing 77 by 666, we get 0 with a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Include the next digit (6) from the dividend after 77, then repeat: 776 / 666

Let's proceed to step 3:
666 goes into 776 1 times with a remainder of 110.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 110 after subtracting 666 from 776.
Fetch the next digit (5) from the dividend, attach it to 110 and continue: 1105 / 666

Moving on to step 4:
666 goes into 1105 1 times with a remainder of 439.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 439 after subtracting 666 from 1105.
Append the next digit (3) from the dividend to 439 and continue with: 4393 / 666

Let's proceed to step 5:
The number 666 fits into 4393 6 times, leaving a remainder of 397.
Record the quotient 6 as the next digit in the result. 
Result so far: 116.0
The remainder is 397 after subtracting 3996 from 4393.
Fetch the next digit (2) from the dividend, attach it to 397 and continue: 3972 / 666

On to step 6:
The number 666 fits into 3972 5 times, leaving a remainder of 642.
The next digit of our result is 5. 
Result so far: 1165.0
Deduct 3330 from 3972 and we're left with 642.
Bring next digit (1) of the dividend behind the 642 and repeat the process: 6421 / 666

Moving on to step 7:
When dividing 6421 by 666, we get 9 with a remainder of 427.
The next digit of our result is 9. 
Result so far: 11659.0
Subtract 5994 from 6421 to get 427.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4270, and continue the process.

Moving on to step 8:
If we divide 4270 by 666, we get 6 and a remainder of 274.
Record the quotient 6 as the next digit in the result. 
Result so far: 11659.6
Subtracting 3996 from 4270 leaves us with 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Step 9:
When dividing 2740 by 666, we get 4 with a remainder of 76.
Put 4 as the next digit of the answer. 
Result so far: 11659.64
Subtracting 2664 from 2740 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 10:
760 divided by 666 is 1 with a remainder of 94.
Record the quotient 1 as the next digit in the result. 
Result so far: 11659.641
If we take 666 away from 760, we end up with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Step 11:
If we divide 940 by 666, we get 1 and a remainder of 274.
Write down 1 as next digit of the result. 
Result so far: 11659.6411
The remainder is 274 after subtracting 666 from 940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

The final result is 11659.6411 with a remainder of 0.00274.