829872 divided by 77 
The aim is to understand the frequency of 77 in 829872.

Moving on to step 1:
When dividing 8 by 77, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 77

On to step 2:
When dividing 82 by 77, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 77 from 82 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 77

Step 3:
59 divided by 77 is 0 with a remainder of 59.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 59 to get 59.
Append the next digit (8) from the dividend to 59 and continue with: 598 / 77

Advancing to step 4:
77 can be fit into 598 7 times, resulting in a remainder of 59.
The next digit of our result is 7. 
Result so far: 107.0
If we subtract 539 from 598, we get 59.
Fetch the next digit (7) from the dividend, attach it to 59 and continue: 597 / 77

Let's proceed to step 5:
77 can be fit into 597 7 times, resulting in a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 1077.0
Deduct 539 from 597 and we're left with 58.
Bring next digit (2) of the dividend behind the 58 and repeat the process: 582 / 77

Let's proceed to step 6:
582 divided by 77 is 7 with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 10777.0
The remainder is 43 after subtracting 539 from 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
If we divide 430 by 77, we get 5 and a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 10777.5
The remainder is 45 after subtracting 385 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
77 can be fit into 450 5 times, resulting in a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 10777.55
If we subtract 385 from 450, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Our division results in 10777.55 with a remaining 0.065.