81508203 ÷ 127 
The aim is to understand the frequency of 127 in 81508203.

Step 1:
The number 127 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 127

Step 2:
81 divided by 127 is 0 with a remainder of 81.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 81 leaves us with 81.
Append the next digit (5) from the dividend to 81 and continue with: 815 / 127

Moving on to step 3:
The number 127 fits into 815 6 times, leaving a remainder of 53.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 762 from 815 to get 53.
Grab the next digit (0) from the dividend, add it to 53, then carry on: 530 / 127

Moving on to step 4:
When dividing 530 by 127, we get 4 with a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 64.0
Subtract 508 from 530 to get 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 127

Moving on to step 5:
127 can be fit into 228 1 times, resulting in a remainder of 101.
Use 1 as the next digit of our solution. 
Result so far: 641.0
Subtracting 127 from 228 leaves us with 101.
Take the next digit (2) from the dividend and append it to 101, then repeat: 1012 / 127

Let's proceed to step 6:
The number 127 fits into 1012 7 times, leaving a remainder of 123.
The next digit of our result is 7. 
Result so far: 6417.0
If we take 889 away from 1012, we end up with 123.
Grab the next digit (0) from the dividend, add it to 123, then carry on: 1230 / 127

Going ahead to step 7:
If we divide 1230 by 127, we get 9 and a remainder of 87.
Use 9 as the next digit of our solution. 
Result so far: 64179.0
Subtract 1143 from 1230 to get 87.
Grab the next digit (3) from the dividend, add it to 87, then carry on: 873 / 127

On to step 8:
873 divided by 127 is 6 with a remainder of 111.
Record the quotient 6 as the next digit in the result. 
Result so far: 641796.0
If we take 762 away from 873, we end up with 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Step 9:
127 can be fit into 1110 8 times, resulting in a remainder of 94.
Use 8 as the next digit of our solution. 
Result so far: 641796.8
Deduct 1016 from 1110 and we're left with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Advancing to step 10:
940 divided by 127 is 7 with a remainder of 51.
The number 7 becomes the next digit in our result. 
Result so far: 641796.87
Subtract 889 from 940 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 11:
If we divide 510 by 127, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 641796.874
Subtract 508 from 510 to 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.

Let's proceed to step 12:
20 divided by 127 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 641796.874
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.

Let's proceed to step 13:
The number 127 fits into 200 1 times, leaving a remainder of 73.
Write down 1 as next digit of the result. 
Result so far: 641796.87401
If we subtract 127 from 200, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 14:
730 divided by 127 is 5 with a remainder of 95.
Put 5 as the next digit of the answer. 
Result so far: 641796.874015
Deduct 635 from 730 and we're left with 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 15:
The number 127 fits into 950 7 times, leaving a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 641796.8740157
Subtracting 889 from 950 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 16:
127 can be fit into 610 4 times, resulting in a remainder of 102.
The number 4 becomes the next digit in our result. 
Result so far: 641796.87401574
The remainder is 102 after subtracting 508 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

The final result is 641796.87401574 with a remainder of 1.02e-07.