260569 ÷ 77 
The aim is to understand the frequency of 77 in 260569.

Let's proceed to step 1:
77 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 77

On to step 2:
The number 77 fits into 26 0 times, leaving a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 77

Step 3:
77 goes into 260 3 times with a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 231 from 260 to get 29.
Append the next digit (5) from the dividend to 29 and continue with: 295 / 77

Let's proceed to step 4:
If we divide 295 by 77, we get 3 and a remainder of 64.
Use 3 as the next digit of our solution. 
Result so far: 33.0
If we take 231 away from 295, we end up with 64.
Append the next digit (6) from the dividend to 64 and continue with: 646 / 77

Going ahead to step 5:
When dividing 646 by 77, we get 8 with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 338.0
Subtracting 616 from 646 leaves us with 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 77

Let's proceed to step 6:
77 goes into 309 4 times with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 3384.0
If we subtract 308 from 309, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 77, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 3384.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
77 can be fit into 100 1 times, resulting in a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 3384.01
Deduct 77 from 100 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 9:
77 can be fit into 230 2 times, resulting in a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 3384.012
If we subtract 154 from 230, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 10:
If we divide 760 by 77, we get 9 and a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 3384.0129
Subtract 693 from 760 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 11:
670 divided by 77 is 8 with a remainder of 54.
Put 8 as the next digit of the answer. 
Result so far: 3384.01298
Deduct 616 from 670 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 12:
If we divide 540 by 77, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 3384.012987
If we subtract 539 from 540, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
77 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 3384.012987
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
77 goes into 100 1 times with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 3384.01298701
Deduct 77 from 100 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final outcome is 3384.01298701, with a leftover of 2.3e-08.