108972 ÷ 77 
The aim is to understand the frequency of 77 in 108972.

Moving on to step 1:
77 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 77

Going ahead to step 2:
If we divide 10 by 77, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 77

Step 3:
If we divide 108 by 77, we get 1 and a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 31 after subtracting 77 from 108.
Grab the next digit (9) from the dividend, add it to 31, then carry on: 319 / 77

Going ahead to step 4:
The number 77 fits into 319 4 times, leaving a remainder of 11.
The next digit of our result is 4. 
Result so far: 14.0
The remainder is 11 after subtracting 308 from 319.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 77

Moving on to step 5:
When dividing 117 by 77, we get 1 with a remainder of 40.
The next digit of our result is 1. 
Result so far: 141.0
If we subtract 77 from 117, we get 40.
Append the next digit (2) from the dividend to 40 and continue with: 402 / 77

Let's proceed to step 6:
When dividing 402 by 77, we get 5 with a remainder of 17.
The next digit of our result is 5. 
Result so far: 1415.0
If we subtract 385 from 402, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
77 can be fit into 170 2 times, resulting in a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 1415.2
If we take 154 away from 170, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
The number 77 fits into 160 2 times, leaving a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 1415.22
Deduct 154 from 160 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 1415.22 with a balance of 0.006.