827815 ÷ 53 
The aim is to understand the frequency of 53 in 827815.

Step 1:
If we divide 8 by 53, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 53

Let's proceed to step 2:
82 divided by 53 is 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 53 from 82 to get 29.
Grab the next digit (7) from the dividend, add it to 29, then carry on: 297 / 53

On to step 3:
The number 53 fits into 297 5 times, leaving a remainder of 32.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 265 from 297 and we're left with 32.
Fetch the next digit (8) from the dividend, attach it to 32 and continue: 328 / 53

Let's proceed to step 4:
328 divided by 53 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 156.0
The remainder is 10 after subtracting 318 from 328.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 53

Advancing to step 5:
When dividing 101 by 53, we get 1 with a remainder of 48.
The next digit of our result is 1. 
Result so far: 1561.0
If we take 53 away from 101, we end up with 48.
Append the next digit (5) from the dividend to 48 and continue with: 485 / 53

Step 6:
The number 53 fits into 485 9 times, leaving a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 15619.0
Subtract 477 from 485 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
80 divided by 53 is 1 with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 15619.1
If we subtract 53 from 80, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
The number 53 fits into 270 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 15619.15
If we take 265 away from 270, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
53 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 15619.15
If we subtract 0 from 50, we 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.

On to step 10:
If we divide 500 by 53, we get 9 and a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 15619.1509
Subtract 477 from 500 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 11:
When dividing 230 by 53, we get 4 with a remainder of 18.
The next digit of our result is 4. 
Result so far: 15619.15094
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:
53 can be fit into 180 3 times, resulting in a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 15619.150943
Deduct 159 from 180 and we're left 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:
210 divided by 53 is 3 with a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 15619.1509433
Subtract 159 from 210 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 15619.1509433 with a remaining 5.1e-07.