We're dividing 565322 by 53 
The aim is to understand the frequency of 53 in 565322.

Let's proceed to step 1:
When dividing 5 by 53, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 53

Advancing to step 2:
The number 53 fits into 56 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 53 from 56.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 53

Step 3:
The number 53 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 35 to get 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 53

Moving on to step 4:
The number 53 fits into 353 6 times, leaving a remainder of 35.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Deduct 318 from 353 and we're left with 35.
Take the next digit (2) from the dividend and append it to 35, then repeat: 352 / 53

Advancing to step 5:
53 goes into 352 6 times with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 1066.0
If we take 318 away from 352, we end up with 34.
Bring next digit (2) of the dividend behind the 34 and repeat the process: 342 / 53

Step 6:
53 goes into 342 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 10666.0
Subtract 318 from 342 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
53 goes into 240 4 times with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 10666.4
The remainder is 28 after subtracting 212 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
280 divided by 53 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 10666.45
The remainder is 15 after subtracting 265 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
When dividing 150 by 53, we get 2 with a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 10666.452
Subtracting 106 from 150 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 10:
The number 53 fits into 440 8 times, leaving a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 10666.4528
If we subtract 424 from 440, we get 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 11:
The number 53 fits into 160 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 10666.45283
Subtracting 159 from 160 leaves us with 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 12:
If we divide 10 by 53, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 10666.45283
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 13:
53 can be fit into 100 1 times, resulting in a remainder of 47.
Record the quotient 1 as the next digit in the result. 
Result so far: 10666.4528301
The remainder is 47 after subtracting 53 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 14:
470 divided by 53 is 8 with a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 10666.45283018
If we take 424 away from 470, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The quotient of the division is 10666.45283018, and the remainder is 4.6e-08.