77142998 divided by 204 
The aim is to understand the frequency of 204 in 77142998.

Going ahead to step 1:
If we divide 7 by 204, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 204

Going ahead to step 2:
204 can be fit into 77 0 times, resulting in a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 77 to get 77.
Include the next digit (1) from the dividend after 77, then repeat: 771 / 204

Advancing to step 3:
771 divided by 204 is 3 with a remainder of 159.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 612 from 771 to get 159.
Grab the next digit (4) from the dividend, add it to 159, then carry on: 1594 / 204

Step 4:
1594 divided by 204 is 7 with a remainder of 166.
The next digit of our result is 7. 
Result so far: 37.0
Subtracting 1428 from 1594 leaves us with 166.
Bring next digit (2) of the dividend behind the 166 and repeat the process: 1662 / 204

Moving on to step 5:
The number 204 fits into 1662 8 times, leaving a remainder of 30.
The next digit of our result is 8. 
Result so far: 378.0
Subtracting 1632 from 1662 leaves us with 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 204

Going ahead to step 6:
If we divide 309 by 204, we get 1 and a remainder of 105.
The number 1 becomes the next digit in our result. 
Result so far: 3781.0
Subtracting 204 from 309 leaves us with 105.
Bring next digit (9) of the dividend behind the 105 and repeat the process: 1059 / 204

Going ahead to step 7:
1059 divided by 204 is 5 with a remainder of 39.
Write down 5 as next digit of the result. 
Result so far: 37815.0
If we take 1020 away from 1059, we end up with 39.
Include the next digit (8) from the dividend after 39, then repeat: 398 / 204

Advancing to step 8:
When dividing 398 by 204, we get 1 with a remainder of 194.
Record the quotient 1 as the next digit in the result. 
Result so far: 378151.0
Subtract 204 from 398 to get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Going ahead to step 9:
1940 divided by 204 is 9 with a remainder of 104.
Record the quotient 9 as the next digit in the result. 
Result so far: 378151.9
Deduct 1836 from 1940 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Step 10:
The number 204 fits into 1040 5 times, leaving a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 378151.95
Subtract 1020 from 1040 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
The number 204 fits into 200 0 times, leaving a remainder of 200.
The number 0 becomes the next digit in our result. 
Result so far: 378151.95
If we subtract 0 from 200, we get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Going ahead to step 12:
204 goes into 2000 9 times with a remainder of 164.
The next digit of our result is 9. 
Result so far: 378151.9509
Subtract 1836 from 2000 to get 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Let's proceed to step 13:
204 goes into 1640 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 378151.95098
If we take 1632 away from 1640, we end up with 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 14:
80 divided by 204 is 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 378151.95098
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 15:
204 can be fit into 800 3 times, resulting in a remainder of 188.
Use 3 as the next digit of our solution. 
Result so far: 378151.9509803
Deduct 612 from 800 and we're left with 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

Let's proceed to step 16:
When dividing 1880 by 204, we get 9 with a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 378151.95098039
The remainder is 44 after subtracting 1836 from 1880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final result is 378151.95098039 with a remainder of 4.4e-08.