821877 ÷ 53 
The aim is to understand the frequency of 53 in 821877.

Advancing to step 1:
8 divided by 53 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
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

Advancing to step 2:
If we divide 82 by 53, we get 1 and a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 53 away from 82, we end up with 29.
Append the next digit (1) from the dividend to 29 and continue with: 291 / 53

Advancing to step 3:
If we divide 291 by 53, we get 5 and a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 26 after subtracting 265 from 291.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 53

On to step 4:
The number 53 fits into 268 5 times, leaving a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
The remainder is 3 after subtracting 265 from 268.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 53

On to step 5:
37 divided by 53 is 0 with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 1550.0
Subtract 0 from 37 to get 37.
Fetch the next digit (7) from the dividend, attach it to 37 and continue: 377 / 53

Let's proceed to step 6:
53 goes into 377 7 times with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 15507.0
If we take 371 away from 377, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
53 goes into 60 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 15507.1
Subtract 53 from 60 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
If we divide 70 by 53, we get 1 and a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 15507.11
If we subtract 53 from 70, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 15507.11 with a remainder of 0.017.