87259665 divided by 777 
The aim is to understand the frequency of 777 in 87259665.

Let's proceed to step 1:
When dividing 8 by 777, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 777

Step 2:
87 divided by 777 is 0 with a remainder of 87.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Fetch the next digit (2) from the dividend, attach it to 87 and continue: 872 / 777

Let's proceed to step 3:
If we divide 872 by 777, we get 1 and a remainder of 95.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 95 after subtracting 777 from 872.
Take the next digit (5) from the dividend and append it to 95, then repeat: 955 / 777

Advancing to step 4:
955 divided by 777 is 1 with a remainder of 178.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 777 from 955 to get 178.
Append the next digit (9) from the dividend to 178 and continue with: 1789 / 777

Step 5:
1789 divided by 777 is 2 with a remainder of 235.
Put 2 as the next digit of the answer. 
Result so far: 112.0
Subtract 1554 from 1789 to get 235.
Bring next digit (6) of the dividend behind the 235 and repeat the process: 2356 / 777

Step 6:
777 goes into 2356 3 times with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 1123.0
The remainder is 25 after subtracting 2331 from 2356.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 777

Going ahead to step 7:
777 goes into 256 0 times with a remainder of 256.
The next digit of our result is 0. 
Result so far: 11230.0
Deduct 0 from 256 and we're left with 256.
Include the next digit (5) from the dividend after 256, then repeat: 2565 / 777

On to step 8:
If we divide 2565 by 777, we get 3 and a remainder of 234.
The number 3 becomes the next digit in our result. 
Result so far: 112303.0
If we take 2331 away from 2565, we end up with 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

Let's proceed to step 9:
777 can be fit into 2340 3 times, resulting in a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 112303.3
Deduct 2331 from 2340 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
777 goes into 90 0 times with a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 112303.3
If we subtract 0 from 90, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 11:
When dividing 900 by 777, we get 1 with a remainder of 123.
The next digit of our result is 1. 
Result so far: 112303.301
If we subtract 777 from 900, we get 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Moving on to step 12:
The number 777 fits into 1230 1 times, leaving a remainder of 453.
The number 1 becomes the next digit in our result. 
Result so far: 112303.3011
The remainder is 453 after subtracting 777 from 1230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4530, and continue the process.

In conclusion, the division gives 112303.3011 with a balance of 0.00453.