We're dividing 79897 by 53 
The aim is to understand the frequency of 53 in 79897.

Step 1:
If we divide 7 by 53, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 53

Moving on to step 2:
If we divide 79 by 53, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 53 from 79 to get 26.
Bring next digit (8) of the dividend behind the 26 and repeat the process: 268 / 53

Moving on to step 3:
268 divided by 53 is 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 265 away from 268, we end up with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 53

Step 4:
39 divided by 53 is 0 with a remainder of 39.
Put 0 as the next digit of the answer. 
Result so far: 150.0
The remainder is 39 after subtracting 0 from 39.
Include the next digit (7) from the dividend after 39, then repeat: 397 / 53

Let's proceed to step 5:
53 goes into 397 7 times with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 1507.0
The remainder is 26 after subtracting 371 from 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 6:
The number 53 fits into 260 4 times, leaving a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 1507.4
Subtract 212 from 260 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
480 divided by 53 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 1507.49
If we subtract 477 from 480, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
30 divided by 53 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 1507.49
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
The number 53 fits into 300 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 1507.4905
Subtracting 265 from 300 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
53 goes into 350 6 times with a remainder of 32.
The next digit of our result is 6. 
Result so far: 1507.49056
Deduct 318 from 350 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
53 can be fit into 320 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 1507.490566
The remainder is 2 after subtracting 318 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 1507.490566, with a leftover of 2e-07.