We're dividing 559423 by 53 
The aim is to understand the frequency of 53 in 559423.

Advancing to step 1:
If we divide 5 by 53, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 53

On to step 2:
55 divided by 53 is 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 53 from 55 to get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 53

Going ahead to step 3:
When dividing 29 by 53, we get 0 with a remainder of 29.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 29 and we're left with 29.
Grab the next digit (4) from the dividend, add it to 29, then carry on: 294 / 53

Advancing to step 4:
53 goes into 294 5 times with a remainder of 29.
The next digit of our result is 5. 
Result so far: 105.0
Subtracting 265 from 294 leaves us with 29.
Append the next digit (2) from the dividend to 29 and continue with: 292 / 53

Step 5:
When dividing 292 by 53, we get 5 with a remainder of 27.
Use 5 as the next digit of our solution. 
Result so far: 1055.0
The remainder is 27 after subtracting 265 from 292.
Grab the next digit (3) from the dividend, add it to 27, then carry on: 273 / 53

Advancing to step 6:
The number 53 fits into 273 5 times, leaving a remainder of 8.
The next digit of our result is 5. 
Result so far: 10555.0
Deduct 265 from 273 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
53 goes into 80 1 times with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 10555.1
The remainder is 27 after subtracting 53 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 8:
53 can be fit into 270 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 10555.15
If we subtract 265 from 270, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
When dividing 50 by 53, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 10555.15
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
When dividing 500 by 53, we get 9 with a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 10555.1509
Subtracting 477 from 500 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 11:
53 goes into 230 4 times with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 10555.15094
If we take 212 away from 230, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
When dividing 180 by 53, we get 3 with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 10555.150943
Subtracting 159 from 180 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 13:
The number 53 fits into 210 3 times, leaving a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 10555.1509433
Deduct 159 from 210 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 10555.1509433 with a balance of 5.1e-07.