814333 ÷ 77 
The aim is to understand the frequency of 77 in 814333.

Advancing to step 1:
77 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 77

Step 2:
77 can be fit into 81 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 77 from 81, we get 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 77

Going ahead to step 3:
The number 77 fits into 44 0 times, leaving a remainder of 44.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 44 to get 44.
Take the next digit (3) from the dividend and append it to 44, then repeat: 443 / 77

Step 4:
77 goes into 443 5 times with a remainder of 58.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Subtracting 385 from 443 leaves us with 58.
Take the next digit (3) from the dividend and append it to 58, then repeat: 583 / 77

Step 5:
77 goes into 583 7 times with a remainder of 44.
Use 7 as the next digit of our solution. 
Result so far: 1057.0
If we take 539 away from 583, we end up with 44.
Fetch the next digit (3) from the dividend, attach it to 44 and continue: 443 / 77

Going ahead to step 6:
When dividing 443 by 77, we get 5 with a remainder of 58.
Write down 5 as next digit of the result. 
Result so far: 10575.0
Subtracting 385 from 443 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 7:
77 can be fit into 580 7 times, resulting in a remainder of 41.
The next digit of our result is 7. 
Result so far: 10575.7
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.

Let's proceed to step 8:
77 goes into 410 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 10575.75
If we subtract 385 from 410, we 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.

Going ahead to step 9:
The number 77 fits into 250 3 times, leaving a remainder of 19.
The next digit of our result is 3. 
Result so far: 10575.753
Deduct 231 from 250 and we're left 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.

Let's proceed to step 10:
190 divided by 77 is 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 10575.7532
Deduct 154 from 190 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
The number 77 fits into 360 4 times, leaving a remainder of 52.
The next digit of our result is 4. 
Result so far: 10575.75324
Subtract 308 from 360 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 12:
The number 77 fits into 520 6 times, leaving a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 10575.753246
Deduct 462 from 520 and we're left with 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 13:
77 goes into 580 7 times with a remainder of 41.
The next digit of our result is 7. 
Result so far: 10575.7532467
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.

Moving on to step 14:
If we divide 410 by 77, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 10575.75324675
If we subtract 385 from 410, we 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.

The final result is 10575.75324675 with a remainder of 2.5e-08.