We look at the division of 10535688 by 277 
The aim is to understand the frequency of 277 in 10535688.

Let's proceed to step 1:
If we divide 1 by 277, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 277

Step 2:
10 divided by 277 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 277

On to step 3:
When dividing 105 by 277, we get 0 with a remainder of 105.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 105 after subtracting 0 from 105.
Bring next digit (3) of the dividend behind the 105 and repeat the process: 1053 / 277

Moving on to step 4:
277 can be fit into 1053 3 times, resulting in a remainder of 222.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 831 from 1053 and we're left with 222.
Grab the next digit (5) from the dividend, add it to 222, then carry on: 2225 / 277

Step 5:
277 can be fit into 2225 8 times, resulting in a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Subtract 2216 from 2225 to get 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 277

On to step 6:
277 goes into 96 0 times with a remainder of 96.
The next digit of our result is 0. 
Result so far: 380.0
Deduct 0 from 96 and we're left with 96.
Include the next digit (8) from the dividend after 96, then repeat: 968 / 277

Moving on to step 7:
When dividing 968 by 277, we get 3 with a remainder of 137.
The number 3 becomes the next digit in our result. 
Result so far: 3803.0
Deduct 831 from 968 and we're left with 137.
Append the next digit (8) from the dividend to 137 and continue with: 1378 / 277

Advancing to step 8:
277 can be fit into 1378 4 times, resulting in a remainder of 270.
Use 4 as the next digit of our solution. 
Result so far: 38034.0
The remainder is 270 after subtracting 1108 from 1378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Moving on to step 9:
2700 divided by 277 is 9 with a remainder of 207.
The next digit of our result is 9. 
Result so far: 38034.9
The remainder is 207 after subtracting 2493 from 2700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

Going ahead to step 10:
If we divide 2070 by 277, we get 7 and a remainder of 131.
Write down 7 as next digit of the result. 
Result so far: 38034.97
Subtract 1939 from 2070 to get 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Advancing to step 11:
277 goes into 1310 4 times with a remainder of 202.
The number 4 becomes the next digit in our result. 
Result so far: 38034.974
If we subtract 1108 from 1310, we get 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Let's proceed to step 12:
277 goes into 2020 7 times with a remainder of 81.
The next digit of our result is 7. 
Result so far: 38034.9747
Subtracting 1939 from 2020 leaves us with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 13:
810 divided by 277 is 2 with a remainder of 256.
The number 2 becomes the next digit in our result. 
Result so far: 38034.97472
Deduct 554 from 810 and we're left with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Let's proceed to step 14:
2560 divided by 277 is 9 with a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 38034.974729
Subtract 2493 from 2560 to get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 15:
When dividing 670 by 277, we get 2 with a remainder of 116.
The number 2 becomes the next digit in our result. 
Result so far: 38034.9747292
The remainder is 116 after subtracting 554 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

On to step 16:
If we divide 1160 by 277, we get 4 and a remainder of 52.
The next digit of our result is 4. 
Result so far: 38034.97472924
Deduct 1108 from 1160 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 38034.97472924, with a leftover of 5.2e-08.