We're dividing 565975 by 77 
The aim is to understand the frequency of 77 in 565975.

Let's proceed to step 1:
When dividing 5 by 77, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 77

Advancing to step 2:
56 divided by 77 is 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Take the next digit (5) from the dividend and append it to 56, then repeat: 565 / 77

Step 3:
77 goes into 565 7 times with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 539 from 565, we get 26.
Grab the next digit (9) from the dividend, add it to 26, then carry on: 269 / 77

Going ahead to step 4:
The number 77 fits into 269 3 times, leaving a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 73.0
Subtract 231 from 269 to get 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 77

On to step 5:
The number 77 fits into 387 5 times, leaving a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 735.0
Subtracting 385 from 387 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 77

Going ahead to step 6:
If we divide 25 by 77, we get 0 and a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 7350.0
Subtracting 0 from 25 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
77 goes into 250 3 times with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 7350.3
Subtracting 231 from 250 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
If we divide 190 by 77, we get 2 and a remainder of 36.
The next digit of our result is 2. 
Result so far: 7350.32
If we subtract 154 from 190, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
360 divided by 77 is 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 7350.324
If we take 308 away from 360, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 10:
The number 77 fits into 520 6 times, leaving a remainder of 58.
Use 6 as the next digit of our solution. 
Result so far: 7350.3246
If we subtract 462 from 520, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 11:
When dividing 580 by 77, we get 7 with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 7350.32467
If we subtract 539 from 580, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 12:
77 can be fit into 410 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7350.324675
Subtract 385 from 410 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
If we divide 250 by 77, we get 3 and a remainder of 19.
The next digit of our result is 3. 
Result so far: 7350.3246753
Subtract 231 from 250 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 14:
When dividing 190 by 77, we get 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 7350.32467532
The remainder is 36 after subtracting 154 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 7350.32467532 and a remainder of 3.6e-08.