We look at the division of 110308 by 77 
The aim is to understand the frequency of 77 in 110308.

Let's proceed to step 1:
When dividing 1 by 77, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 77

On to step 2:
If we divide 11 by 77, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 77

Advancing to step 3:
If we divide 110 by 77, we get 1 and a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 77 from 110 and we're left with 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 77

Let's proceed to step 4:
When dividing 333 by 77, we get 4 with a remainder of 25.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 308 from 333 to get 25.
Grab the next digit (0) from the dividend, add it to 25, then carry on: 250 / 77

Step 5:
The number 77 fits into 250 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.0
Subtract 231 from 250 to get 19.
Fetch the next digit (8) from the dividend, attach it to 19 and continue: 198 / 77

Advancing to step 6:
77 goes into 198 2 times with a remainder of 44.
The next digit of our result is 2. 
Result so far: 1432.0
If we take 154 away from 198, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
77 can be fit into 440 5 times, resulting in a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 1432.5
The remainder is 55 after subtracting 385 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 8:
77 can be fit into 550 7 times, resulting in a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 1432.57
Subtract 539 from 550 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
If we divide 110 by 77, we get 1 and a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 1432.571
Subtract 77 from 110 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 10:
When dividing 330 by 77, we get 4 with a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 1432.5714
The remainder is 22 after subtracting 308 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 11:
77 can be fit into 220 2 times, resulting in a remainder of 66.
Write down 2 as next digit of the result. 
Result so far: 1432.57142
If we subtract 154 from 220, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 12:
660 divided by 77 is 8 with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 1432.571428
If we subtract 616 from 660, 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.

Step 13:
When dividing 440 by 77, we get 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 1432.5714285
If we subtract 385 from 440, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 14:
77 goes into 550 7 times with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 1432.57142857
Subtract 539 from 550 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 1432.57142857 and a remainder of 1.1e-08.