405969 divided by 53 
The aim is to understand the frequency of 53 in 405969.

Advancing to step 1:
If we divide 4 by 53, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 53

Let's proceed to step 2:
When dividing 40 by 53, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 40, we end up with 40.
Include the next digit (5) from the dividend after 40, then repeat: 405 / 53

Advancing to step 3:
405 divided by 53 is 7 with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 371 from 405, we get 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 53

Moving on to step 4:
349 divided by 53 is 6 with a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 31 after subtracting 318 from 349.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 53

Step 5:
The number 53 fits into 316 5 times, leaving a remainder of 51.
Write down 5 as next digit of the result. 
Result so far: 765.0
If we subtract 265 from 316, we get 51.
Fetch the next digit (9) from the dividend, attach it to 51 and continue: 519 / 53

Step 6:
If we divide 519 by 53, we get 9 and a remainder of 42.
Write down 9 as next digit of the result. 
Result so far: 7659.0
Subtract 477 from 519 to get 42.
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 7:
The number 53 fits into 420 7 times, leaving a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 7659.7
If we subtract 371 from 420, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 8:
If we divide 490 by 53, we get 9 and a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 7659.79
The remainder is 13 after subtracting 477 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
53 goes into 130 2 times with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 7659.792
Deduct 106 from 130 and we're left 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.

Advancing to step 10:
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: 7659.7924
Subtracting 212 from 240 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
53 can be fit into 280 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 7659.79245
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.

Step 12:
When dividing 150 by 53, we get 2 with a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 7659.792452
Deduct 106 from 150 and we're left 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.

Moving on to step 13:
When dividing 440 by 53, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 7659.7924528
If we take 424 away from 440, we end up 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.

Let's proceed to step 14:
160 divided by 53 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 7659.79245283
If we take 159 away from 160, we end up 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.

The final result is 7659.79245283 with a remainder of 1e-09.