77799682 ÷ 126 
The aim is to understand the frequency of 126 in 77799682.

Advancing to step 1:
126 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 126

Advancing to step 2:
126 goes into 77 0 times with a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Fetch the next digit (7) from the dividend, attach it to 77 and continue: 777 / 126

Advancing to step 3:
When dividing 777 by 126, we get 6 with a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 756 from 777 and we're left with 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 126

Moving on to step 4:
The number 126 fits into 219 1 times, leaving a remainder of 93.
The next digit of our result is 1. 
Result so far: 61.0
If we subtract 126 from 219, we get 93.
Grab the next digit (9) from the dividend, add it to 93, then carry on: 939 / 126

Advancing to step 5:
126 goes into 939 7 times with a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 617.0
Deduct 882 from 939 and we're left with 57.
Fetch the next digit (6) from the dividend, attach it to 57 and continue: 576 / 126

Let's proceed to step 6:
When dividing 576 by 126, we get 4 with a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 6174.0
If we take 504 away from 576, we end up with 72.
Include the next digit (8) from the dividend after 72, then repeat: 728 / 126

Step 7:
The number 126 fits into 728 5 times, leaving a remainder of 98.
The number 5 becomes the next digit in our result. 
Result so far: 61745.0
Deduct 630 from 728 and we're left with 98.
Append the next digit (2) from the dividend to 98 and continue with: 982 / 126

Let's proceed to step 8:
When dividing 982 by 126, we get 7 with a remainder of 100.
The next digit of our result is 7. 
Result so far: 617457.0
Subtract 882 from 982 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Step 9:
126 goes into 1000 7 times with a remainder of 118.
Put 7 as the next digit of the answer. 
Result so far: 617457.7
If we subtract 882 from 1000, we get 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Advancing to step 10:
1180 divided by 126 is 9 with a remainder of 46.
Record the quotient 9 as the next digit in the result. 
Result so far: 617457.79
Subtract 1134 from 1180 to get 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 11:
126 can be fit into 460 3 times, resulting in a remainder of 82.
Record the quotient 3 as the next digit in the result. 
Result so far: 617457.793
If we subtract 378 from 460, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 12:
When dividing 820 by 126, we get 6 with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 617457.7936
Deduct 756 from 820 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 13:
When dividing 640 by 126, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 617457.79365
If we take 630 away from 640, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
The number 126 fits into 100 0 times, leaving a remainder of 100.
The next digit of our result is 0. 
Result so far: 617457.79365
If we take 0 away from 100, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 15:
126 goes into 1000 7 times with a remainder of 118.
Record the quotient 7 as the next digit in the result. 
Result so far: 617457.7936507
The remainder is 118 after subtracting 882 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Moving on to step 16:
If we divide 1180 by 126, we get 9 and a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 617457.79365079
Subtracting 1134 from 1180 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.

The final result is 617457.79365079 with a remainder of 4.6e-08.