77773459 divided by 511 
The aim is to understand the frequency of 511 in 77773459.

Let's proceed to step 1:
If we divide 7 by 511, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 511

Let's proceed to step 2:
511 can be fit into 77 0 times, resulting in a remainder of 77.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Include the next digit (7) from the dividend after 77, then repeat: 777 / 511

Going ahead to step 3:
When dividing 777 by 511, we get 1 with a remainder of 266.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 511 from 777, we get 266.
Include the next digit (7) from the dividend after 266, then repeat: 2667 / 511

On to step 4:
The number 511 fits into 2667 5 times, leaving a remainder of 112.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 2555 from 2667 to get 112.
Take the next digit (3) from the dividend and append it to 112, then repeat: 1123 / 511

Going ahead to step 5:
The number 511 fits into 1123 2 times, leaving a remainder of 101.
Use 2 as the next digit of our solution. 
Result so far: 152.0
The remainder is 101 after subtracting 1022 from 1123.
Take the next digit (4) from the dividend and append it to 101, then repeat: 1014 / 511

Advancing to step 6:
The number 511 fits into 1014 1 times, leaving a remainder of 503.
Record the quotient 1 as the next digit in the result. 
Result so far: 1521.0
Subtract 511 from 1014 to get 503.
Fetch the next digit (5) from the dividend, attach it to 503 and continue: 5035 / 511

On to step 7:
The number 511 fits into 5035 9 times, leaving a remainder of 436.
The next digit of our result is 9. 
Result so far: 15219.0
The remainder is 436 after subtracting 4599 from 5035.
Fetch the next digit (9) from the dividend, attach it to 436 and continue: 4369 / 511

Advancing to step 8:
The number 511 fits into 4369 8 times, leaving a remainder of 281.
The number 8 becomes the next digit in our result. 
Result so far: 152198.0
The remainder is 281 after subtracting 4088 from 4369.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

Step 9:
The number 511 fits into 2810 5 times, leaving a remainder of 255.
The next digit of our result is 5. 
Result so far: 152198.5
The remainder is 255 after subtracting 2555 from 2810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Moving on to step 10:
If we divide 2550 by 511, we get 4 and a remainder of 506.
Record the quotient 4 as the next digit in the result. 
Result so far: 152198.54
Subtract 2044 from 2550 to get 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

On to step 11:
When dividing 5060 by 511, we get 9 with a remainder of 461.
Record the quotient 9 as the next digit in the result. 
Result so far: 152198.549
Subtract 4599 from 5060 to get 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Moving on to step 12:
4610 divided by 511 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 152198.5499
If we subtract 4599 from 4610, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 152198.5499 and a remainder of 0.00011.