77081342 ÷ 771 
The aim is to understand the frequency of 771 in 77081342.

On to step 1:
If we divide 7 by 771, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 771

Moving on to step 2:
When dividing 77 by 771, we get 0 with a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Include the next digit (0) from the dividend after 77, then repeat: 770 / 771

On to step 3:
When dividing 770 by 771, we get 0 with a remainder of 770.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 770 leaves us with 770.
Append the next digit (8) from the dividend to 770 and continue with: 7708 / 771

Moving on to step 4:
The number 771 fits into 7708 9 times, leaving a remainder of 769.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 769 after subtracting 6939 from 7708.
Take the next digit (1) from the dividend and append it to 769, then repeat: 7691 / 771

Moving on to step 5:
If we divide 7691 by 771, we get 9 and a remainder of 752.
Write down 9 as next digit of the result. 
Result so far: 99.0
If we take 6939 away from 7691, we end up with 752.
Fetch the next digit (3) from the dividend, attach it to 752 and continue: 7523 / 771

Moving on to step 6:
771 goes into 7523 9 times with a remainder of 584.
Put 9 as the next digit of the answer. 
Result so far: 999.0
The remainder is 584 after subtracting 6939 from 7523.
Include the next digit (4) from the dividend after 584, then repeat: 5844 / 771

Advancing to step 7:
5844 divided by 771 is 7 with a remainder of 447.
The number 7 becomes the next digit in our result. 
Result so far: 9997.0
Subtract 5397 from 5844 to get 447.
Grab the next digit (2) from the dividend, add it to 447, then carry on: 4472 / 771

Moving on to step 8:
4472 divided by 771 is 5 with a remainder of 617.
Write down 5 as next digit of the result. 
Result so far: 99975.0
If we subtract 3855 from 4472, we get 617.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6170, and continue the process.

Let's proceed to step 9:
6170 divided by 771 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 99975.8
Deduct 6168 from 6170 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
If we divide 20 by 771, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 99975.8
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
200 divided by 771 is 0 with a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 99975.8
The remainder is 200 after subtracting 0 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

After the division, we end up with 99975.8 and a remainder of 0.02.