77917 ÷ 14 
The aim is to understand the frequency of 14 in 77917.

Let's proceed to step 1:
When dividing 7 by 14, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 14

On to step 2:
When dividing 77 by 14, we get 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 7 after subtracting 70 from 77.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 14

Advancing to step 3:
14 can be fit into 79 5 times, resulting in a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Subtracting 70 from 79 leaves us with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 14

Let's proceed to step 4:
14 goes into 91 6 times with a remainder of 7.
The next digit of our result is 6. 
Result so far: 556.0
Deduct 84 from 91 and we're left with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 14

Moving on to step 5:
14 goes into 77 5 times with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 5565.0
If we subtract 70 from 77, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 6:
70 divided by 14 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5565.5
If we take 70 away from 70, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
The number 14 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5565.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
The number 14 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 5565.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 5565.5 with a balance of 0.0.