10277160 ÷ 113 
The aim is to understand the frequency of 113 in 10277160.

Let's proceed to step 1:
When dividing 1 by 113, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 113

Let's proceed to step 2:
113 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 113

Going ahead to step 3:
113 can be fit into 102 0 times, resulting in a remainder of 102.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 102 and we're left with 102.
Take the next digit (7) from the dividend and append it to 102, then repeat: 1027 / 113

On to step 4:
The number 113 fits into 1027 9 times, leaving a remainder of 10.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 1017 from 1027 and we're left with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 113

Moving on to step 5:
113 goes into 107 0 times with a remainder of 107.
Record the quotient 0 as the next digit in the result. 
Result so far: 90.0
Subtract 0 from 107 to get 107.
Append the next digit (1) from the dividend to 107 and continue with: 1071 / 113

Moving on to step 6:
The number 113 fits into 1071 9 times, leaving a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 909.0
If we take 1017 away from 1071, we end up with 54.
Bring next digit (6) of the dividend behind the 54 and repeat the process: 546 / 113

Step 7:
113 can be fit into 546 4 times, resulting in a remainder of 94.
Put 4 as the next digit of the answer. 
Result so far: 9094.0
Subtracting 452 from 546 leaves us with 94.
Include the next digit (0) from the dividend after 94, then repeat: 940 / 113

Going ahead to step 8:
When dividing 940 by 113, we get 8 with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 90948.0
The remainder is 36 after subtracting 904 from 940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
The number 113 fits into 360 3 times, leaving a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 90948.3
If we take 339 away from 360, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 10:
210 divided by 113 is 1 with a remainder of 97.
Write down 1 as next digit of the result. 
Result so far: 90948.31
Subtract 113 from 210 to get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Advancing to step 11:
If we divide 970 by 113, we get 8 and a remainder of 66.
Write down 8 as next digit of the result. 
Result so far: 90948.318
If we subtract 904 from 970, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 12:
The number 113 fits into 660 5 times, leaving a remainder of 95.
The number 5 becomes the next digit in our result. 
Result so far: 90948.3185
Subtract 565 from 660 to get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

On to step 13:
113 goes into 950 8 times with a remainder of 46.
The next digit of our result is 8. 
Result so far: 90948.31858
If we take 904 away from 950, we end up 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.

Let's proceed to step 14:
When dividing 460 by 113, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 90948.318584
If we subtract 452 from 460, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 15:
113 goes into 80 0 times with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 90948.318584
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 16:
When dividing 800 by 113, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 90948.31858407
Deduct 791 from 800 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.

In conclusion, the division gives 90948.31858407 with a balance of 9e-09.