We're dividing 513500 by 53 
The aim is to understand the frequency of 53 in 513500.

Advancing to step 1:
When dividing 5 by 53, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 53

Going ahead to step 2:
53 goes into 51 0 times with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Grab the next digit (3) from the dividend, add it to 51, then carry on: 513 / 53

Let's proceed to step 3:
The number 53 fits into 513 9 times, leaving a remainder of 36.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 477 from 513 and we're left with 36.
Grab the next digit (5) from the dividend, add it to 36, then carry on: 365 / 53

On to step 4:
365 divided by 53 is 6 with a remainder of 47.
Use 6 as the next digit of our solution. 
Result so far: 96.0
Subtract 318 from 365 to get 47.
Include the next digit (0) from the dividend after 47, then repeat: 470 / 53

On to step 5:
The number 53 fits into 470 8 times, leaving a remainder of 46.
The next digit of our result is 8. 
Result so far: 968.0
Subtracting 424 from 470 leaves us with 46.
Bring next digit (0) of the dividend behind the 46 and repeat the process: 460 / 53

On to step 6:
53 goes into 460 8 times with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 9688.0
Deduct 424 from 460 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 7:
360 divided by 53 is 6 with a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 9688.6
The remainder is 42 after subtracting 318 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
When dividing 420 by 53, we get 7 with a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 9688.67
The remainder is 49 after subtracting 371 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 9:
53 goes into 490 9 times with a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 9688.679
If we take 477 away from 490, 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 10:
The number 53 fits into 130 2 times, leaving a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 9688.6792
If we take 106 away from 130, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
53 can be fit into 240 4 times, resulting in a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 9688.67924
Subtract 212 from 240 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 12:
53 goes into 280 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 9688.679245
If we take 265 away from 280, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 13:
The number 53 fits into 150 2 times, leaving a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 9688.6792452
The remainder is 44 after subtracting 106 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 14:
53 goes into 440 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 9688.67924528
Deduct 424 from 440 and we're left 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.

The final result is 9688.67924528 with a remainder of 1.6e-08.