We're dividing 3006 by 77 
The aim is to understand the frequency of 77 in 3006.

Step 1:
The number 77 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 77

Moving on to step 2:
The number 77 fits into 30 0 times, leaving a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 77

On to step 3:
77 can be fit into 300 3 times, resulting in a remainder of 69.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 231 from 300 and we're left with 69.
Append the next digit (6) from the dividend to 69 and continue with: 696 / 77

Advancing to step 4:
77 can be fit into 696 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
The remainder is 3 after subtracting 693 from 696.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 5:
30 divided by 77 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 39.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 6:
The number 77 fits into 300 3 times, leaving a remainder of 69.
Write down 3 as next digit of the result. 
Result so far: 39.03
The remainder is 69 after subtracting 231 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 7:
77 can be fit into 690 8 times, resulting in a remainder of 74.
Write down 8 as next digit of the result. 
Result so far: 39.038
Subtract 616 from 690 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 8:
The number 77 fits into 740 9 times, leaving a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 39.0389
Subtracting 693 from 740 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 9:
470 divided by 77 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 39.03896
If we subtract 462 from 470, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
If we divide 80 by 77, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 39.038961
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
If we divide 30 by 77, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 39.038961
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
When dividing 300 by 77, we get 3 with a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 39.03896103
The remainder is 69 after subtracting 231 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Our division results in 39.03896103 with a remaining 6.9e-08.