97813 ÷ 21 
The aim is to understand the frequency of 21 in 97813.

Step 1:
21 can be fit into 9 0 times, resulting in a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 21

Advancing to step 2:
If we divide 97 by 21, we get 4 and a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 84 from 97, we get 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 21

On to step 3:
138 divided by 21 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 46.0
Subtracting 126 from 138 leaves us with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 21

Step 4:
If we divide 121 by 21, we get 5 and a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 465.0
If we subtract 105 from 121, we get 16.
Append the next digit (3) from the dividend to 16 and continue with: 163 / 21

Going ahead to step 5:
The number 21 fits into 163 7 times, leaving a remainder of 16.
The next digit of our result is 7. 
Result so far: 4657.0
If we take 147 away from 163, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 6:
160 divided by 21 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 4657.7
If we subtract 147 from 160, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
21 can be fit into 130 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 4657.76
Subtract 126 from 130 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
40 divided by 21 is 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 4657.761
Subtract 21 from 40 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
When dividing 190 by 21, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 4657.7619
If we subtract 189 from 190, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
21 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 4657.7619
Subtract 0 from 10 to get 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 11:
The number 21 fits into 100 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 4657.761904
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 12:
160 divided by 21 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 4657.7619047
If we take 147 away from 160, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 13:
21 goes into 130 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 4657.76190476
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 4657.76190476 with a balance of 4e-09.