We're dividing 10505179 by 127 
The aim is to understand the frequency of 127 in 10505179.

Advancing to step 1:
If we divide 1 by 127, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
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 / 127

Moving on to step 2:
When dividing 10 by 127, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 127

Moving on to step 3:
127 can be fit into 105 0 times, resulting in a remainder of 105.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 105 after subtracting 0 from 105.
Fetch the next digit (0) from the dividend, attach it to 105 and continue: 1050 / 127

On to step 4:
When dividing 1050 by 127, we get 8 with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 1016 from 1050 to get 34.
Bring next digit (5) of the dividend behind the 34 and repeat the process: 345 / 127

Let's proceed to step 5:
127 can be fit into 345 2 times, resulting in a remainder of 91.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtract 254 from 345 to get 91.
Bring next digit (1) of the dividend behind the 91 and repeat the process: 911 / 127

Going ahead to step 6:
127 can be fit into 911 7 times, resulting in a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 827.0
The remainder is 22 after subtracting 889 from 911.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 127

Let's proceed to step 7:
127 can be fit into 227 1 times, resulting in a remainder of 100.
Use 1 as the next digit of our solution. 
Result so far: 8271.0
The remainder is 100 after subtracting 127 from 227.
Include the next digit (9) from the dividend after 100, then repeat: 1009 / 127

Let's proceed to step 8:
The number 127 fits into 1009 7 times, leaving a remainder of 120.
Use 7 as the next digit of our solution. 
Result so far: 82717.0
The remainder is 120 after subtracting 889 from 1009.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

On to step 9:
The number 127 fits into 1200 9 times, leaving a remainder of 57.
The next digit of our result is 9. 
Result so far: 82717.9
Subtract 1143 from 1200 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 10:
127 can be fit into 570 4 times, resulting in a remainder of 62.
Write down 4 as next digit of the result. 
Result so far: 82717.94
If we take 508 away from 570, we end up with 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 11:
When dividing 620 by 127, we get 4 with a remainder of 112.
Use 4 as the next digit of our solution. 
Result so far: 82717.944
The remainder is 112 after subtracting 508 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

The final outcome is 82717.944, with a leftover of 0.0112.