27750 ÷ 77 
The aim is to understand the frequency of 77 in 27750.

Going ahead to step 1:
If we divide 2 by 77, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 77

Let's proceed to step 2:
The number 77 fits into 27 0 times, leaving a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 27 and we're left with 27.
Fetch the next digit (7) from the dividend, attach it to 27 and continue: 277 / 77

Moving on to step 3:
If we divide 277 by 77, we get 3 and a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 231 from 277 leaves us with 46.
Append the next digit (5) from the dividend to 46 and continue with: 465 / 77

Advancing to step 4:
If we divide 465 by 77, we get 6 and a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we take 462 away from 465, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 77

On to step 5:
77 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 360.0
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.

Going ahead to step 6:
300 divided by 77 is 3 with a remainder of 69.
The number 3 becomes the next digit in our result. 
Result so far: 360.3
If we take 231 away from 300, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Moving on to step 7:
77 can be fit into 690 8 times, resulting in a remainder of 74.
The number 8 becomes the next digit in our result. 
Result so far: 360.38
Deduct 616 from 690 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 8:
If we divide 740 by 77, we get 9 and a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 360.389
Subtract 693 from 740 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 9:
470 divided by 77 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 360.3896
If we take 462 away from 470, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
77 can be fit into 80 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 360.38961
If we take 77 away from 80, we end up 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.

Going ahead to step 11:
77 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 360.38961
Subtracting 0 from 30 leaves us with 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 12:
The number 77 fits into 300 3 times, leaving a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 360.3896103
If we subtract 231 from 300, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 13:
77 can be fit into 690 8 times, resulting in a remainder of 74.
The next digit of our result is 8. 
Result so far: 360.38961038
If we take 616 away from 690, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

The quotient of the division is 360.38961038, and the remainder is 7.4e-08.