We're dividing 10914 by 77 
The aim is to understand the frequency of 77 in 10914.

On to step 1:
When dividing 1 by 77, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 77

Advancing to step 2:
77 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 77

Step 3:
77 can be fit into 109 1 times, resulting in a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 77 away from 109, we end up with 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 77

Moving on to step 4:
321 divided by 77 is 4 with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 308 from 321 and we're left with 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 77

On to step 5:
If we divide 134 by 77, we get 1 and a remainder of 57.
Use 1 as the next digit of our solution. 
Result so far: 141.0
Deduct 77 from 134 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 6:
When dividing 570 by 77, we get 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 141.7
If we take 539 away from 570, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
77 goes into 310 4 times with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 141.74
If we subtract 308 from 310, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
77 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 141.74
Deduct 0 from 20 and we're left with 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 9:
77 goes into 200 2 times with a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 141.7402
Subtracting 154 from 200 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
The number 77 fits into 460 5 times, leaving a remainder of 75.
The next digit of our result is 5. 
Result so far: 141.74025
Subtract 385 from 460 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 11:
77 can be fit into 750 9 times, resulting in a remainder of 57.
Use 9 as the next digit of our solution. 
Result so far: 141.740259
Subtract 693 from 750 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 12:
The number 77 fits into 570 7 times, leaving a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 141.7402597
The remainder is 31 after subtracting 539 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 13:
When dividing 310 by 77, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 141.74025974
Subtracting 308 from 310 leaves us 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.

The final outcome is 141.74025974, with a leftover of 2e-09.