We're dividing 19877 by 30 
The aim is to understand the frequency of 30 in 19877.

Let's proceed to step 1:
If we divide 1 by 30, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 30

Moving on to step 2:
If we divide 19 by 30, we get 0 and a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 19 and we're left with 19.
Append the next digit (8) from the dividend to 19 and continue with: 198 / 30

Moving on to step 3:
30 goes into 198 6 times with a remainder of 18.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 180 from 198, we get 18.
Take the next digit (7) from the dividend and append it to 18, then repeat: 187 / 30

Going ahead to step 4:
187 divided by 30 is 6 with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 66.0
The remainder is 7 after subtracting 180 from 187.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 30

Advancing to step 5:
30 goes into 77 2 times with a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 662.0
If we subtract 60 from 77, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 6:
The number 30 fits into 170 5 times, leaving a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 662.5
If we take 150 away from 170, we end up 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.

Going ahead to step 7:
30 can be fit into 200 6 times, resulting in a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 662.56
Subtracting 180 from 200 leaves us 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.

Advancing to step 8:
The number 30 fits into 200 6 times, leaving a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 662.566
If we take 180 away from 200, we end up 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.

After the division, we end up with 662.566 and a remainder of 0.002.