686617 ÷ 77 
The aim is to understand the frequency of 77 in 686617.

Let's proceed to step 1:
77 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 77

On to step 2:
68 divided by 77 is 0 with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Grab the next digit (6) from the dividend, add it to 68, then carry on: 686 / 77

On to step 3:
77 can be fit into 686 8 times, resulting in a remainder of 70.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 616 from 686, we get 70.
Include the next digit (6) from the dividend after 70, then repeat: 706 / 77

Advancing to step 4:
If we divide 706 by 77, we get 9 and a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
Deduct 693 from 706 and we're left with 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 77

Let's proceed to step 5:
77 can be fit into 131 1 times, resulting in a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 891.0
Deduct 77 from 131 and we're left with 54.
Grab the next digit (7) from the dividend, add it to 54, then carry on: 547 / 77

On to step 6:
77 can be fit into 547 7 times, resulting in a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 8917.0
If we subtract 539 from 547, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
The number 77 fits into 80 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 8917.1
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
30 divided by 77 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 8917.1
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
When dividing 300 by 77, we get 3 with a remainder of 69.
The next digit of our result is 3. 
Result so far: 8917.103
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 10:
77 goes into 690 8 times with a remainder of 74.
Put 8 as the next digit of the answer. 
Result so far: 8917.1038
The remainder is 74 after subtracting 616 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 11:
77 goes into 740 9 times with a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 8917.10389
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 12:
77 goes into 470 6 times with a remainder of 8.
The next digit of our result is 6. 
Result so far: 8917.103896
Subtracting 462 from 470 leaves us 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.

Advancing to step 13:
When dividing 80 by 77, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 8917.1038961
Subtract 77 from 80 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
If we divide 30 by 77, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 8917.1038961
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.

The final outcome is 8917.1038961, with a leftover of 3e-08.