We're dividing 343765 by 77 
The aim is to understand the frequency of 77 in 343765.

Going ahead to step 1:
The number 77 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 77

Moving on to step 2:
34 divided by 77 is 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 77

Step 3:
The number 77 fits into 343 4 times, leaving a remainder of 35.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 308 from 343, we get 35.
Include the next digit (7) from the dividend after 35, then repeat: 357 / 77

Going ahead to step 4:
The number 77 fits into 357 4 times, leaving a remainder of 49.
Write down 4 as next digit of the result. 
Result so far: 44.0
Deduct 308 from 357 and we're left with 49.
Append the next digit (6) from the dividend to 49 and continue with: 496 / 77

Moving on to step 5:
77 can be fit into 496 6 times, resulting in a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 446.0
Subtracting 462 from 496 leaves us with 34.
Append the next digit (5) from the dividend to 34 and continue with: 345 / 77

On to step 6:
77 goes into 345 4 times with a remainder of 37.
Write down 4 as next digit of the result. 
Result so far: 4464.0
Subtracting 308 from 345 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
77 goes into 370 4 times with a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 4464.4
If we subtract 308 from 370, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 8:
If we divide 620 by 77, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 4464.48
If we subtract 616 from 620, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
The number 77 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 4464.48
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
77 goes into 400 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 4464.4805
Subtract 385 from 400 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 11:
The number 77 fits into 150 1 times, leaving a remainder of 73.
Put 1 as the next digit of the answer. 
Result so far: 4464.48051
If we take 77 away from 150, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 12:
77 goes into 730 9 times with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 4464.480519
If we subtract 693 from 730, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 13:
77 goes into 370 4 times with a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 4464.4805194
If we subtract 308 from 370, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 14:
77 goes into 620 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 4464.48051948
Subtract 616 from 620 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 4464.48051948, and the remainder is 4e-09.