We're dividing 514116 by 52 
The aim is to understand the frequency of 52 in 514116.

Going ahead to step 1:
If we divide 5 by 52, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 52

Advancing to step 2:
When dividing 51 by 52, we get 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 52

Advancing to step 3:
If we divide 514 by 52, we get 9 and a remainder of 46.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 468 away from 514, we end up with 46.
Include the next digit (1) from the dividend after 46, then repeat: 461 / 52

Going ahead to step 4:
52 can be fit into 461 8 times, resulting in a remainder of 45.
Record the quotient 8 as the next digit in the result. 
Result so far: 98.0
If we take 416 away from 461, we end up with 45.
Bring next digit (1) of the dividend behind the 45 and repeat the process: 451 / 52

Step 5:
When dividing 451 by 52, we get 8 with a remainder of 35.
Put 8 as the next digit of the answer. 
Result so far: 988.0
If we take 416 away from 451, we end up with 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 52

Going ahead to step 6:
The number 52 fits into 356 6 times, leaving a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 9886.0
If we subtract 312 from 356, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
440 divided by 52 is 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 9886.8
If we take 416 away from 440, we end up 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.

Moving on to step 8:
52 goes into 240 4 times with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 9886.84
If we take 208 away from 240, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
52 goes into 320 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 9886.846
Subtracting 312 from 320 leaves us 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.

Moving on to step 10:
80 divided by 52 is 1 with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 9886.8461
Deduct 52 from 80 and we're left 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.

Step 11:
52 can be fit into 280 5 times, resulting in a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 9886.84615
Subtract 260 from 280 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
52 goes into 200 3 times with a remainder of 44.
The next digit of our result is 3. 
Result so far: 9886.846153
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 13:
The number 52 fits into 440 8 times, leaving a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 9886.8461538
If we subtract 416 from 440, we 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.

Let's proceed to step 14:
If we divide 240 by 52, we get 4 and a remainder of 32.
The next digit of our result is 4. 
Result so far: 9886.84615384
Deduct 208 from 240 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 9886.84615384 with a remainder of 3.2e-08.