We're dividing 107125 by 53 
The aim is to understand the frequency of 53 in 107125.

Step 1:
If we divide 1 by 53, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 53

Step 2:
10 divided by 53 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 53

Step 3:
107 divided by 53 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 106 from 107, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 53

On to step 4:
11 divided by 53 is 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we subtract 0 from 11, we get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 53

Advancing to step 5:
The number 53 fits into 112 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 202.0
Deduct 106 from 112 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 53

Step 6:
The number 53 fits into 65 1 times, leaving a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 2021.0
Subtracting 53 from 65 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
The number 53 fits into 120 2 times, leaving a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 2021.2
Subtract 106 from 120 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
If we divide 140 by 53, we get 2 and a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 2021.22
If we subtract 106 from 140, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 2021.22, and the remainder is 0.034.