177298 ÷ 77 
The aim is to understand the frequency of 77 in 177298.

Advancing 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
Deduct 0 from 1 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 77

Let's proceed to step 2:
If we divide 17 by 77, we get 0 and a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 77

On to step 3:
When dividing 177 by 77, we get 2 with a remainder of 23.
The next digit of our result is 2. 
Result so far: 2.0
If we take 154 away from 177, we end up with 23.
Include the next digit (2) from the dividend after 23, then repeat: 232 / 77

Step 4:
77 can be fit into 232 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
If we subtract 231 from 232, we get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 77

On to step 5:
When dividing 19 by 77, we get 0 with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 230.0
The remainder is 19 after subtracting 0 from 19.
Include the next digit (8) from the dividend after 19, then repeat: 198 / 77

Going ahead to step 6:
77 goes into 198 2 times with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 2302.0
The remainder is 44 after subtracting 154 from 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
When dividing 440 by 77, we get 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 2302.5
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.

Moving on to step 8:
If we divide 550 by 77, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 2302.57
If we subtract 539 from 550, we 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.

Let's proceed 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: 2302.571
Deduct 77 from 110 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 10:
If we divide 330 by 77, we get 4 and a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 2302.5714
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:
220 divided by 77 is 2 with a remainder of 66.
Write down 2 as next digit of the result. 
Result so far: 2302.57142
If we take 154 away from 220, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 12:
When dividing 660 by 77, we get 8 with a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 2302.571428
Subtract 616 from 660 to 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.

Let's proceed to step 13:
When dividing 440 by 77, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 2302.5714285
If we take 385 away from 440, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 14:
The number 77 fits into 550 7 times, leaving a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 2302.57142857
The remainder is 11 after subtracting 539 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 2302.57142857 with a balance of 1.1e-08.