71757 ÷ 52 
The aim is to understand the frequency of 52 in 71757.

Let's proceed to step 1:
52 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 52

Moving on to step 2:
52 goes into 71 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 52 away from 71, we end up with 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 52

Advancing to step 3:
52 goes into 197 3 times with a remainder of 41.
The next digit of our result is 3. 
Result so far: 13.0
If we subtract 156 from 197, we get 41.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 52

Step 4:
If we divide 415 by 52, we get 7 and a remainder of 51.
The number 7 becomes the next digit in our result. 
Result so far: 137.0
Subtract 364 from 415 to get 51.
Grab the next digit (7) from the dividend, add it to 51, then carry on: 517 / 52

Step 5:
52 can be fit into 517 9 times, resulting in a remainder of 49.
Record the quotient 9 as the next digit in the result. 
Result so far: 1379.0
Subtracting 468 from 517 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 6:
52 goes into 490 9 times with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 1379.9
The remainder is 22 after subtracting 468 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
The number 52 fits into 220 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 1379.94
If we subtract 208 from 220, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
The number 52 fits into 120 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 1379.942
Deduct 104 from 120 and we're left 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.

Advancing to step 9:
52 goes into 160 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 1379.9423
If we take 156 away from 160, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
The number 52 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 1379.9423
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
400 divided by 52 is 7 with a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 1379.942307
Subtract 364 from 400 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 12:
360 divided by 52 is 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 1379.9423076
Subtracting 312 from 360 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 13:
52 can be fit into 480 9 times, resulting in a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 1379.94230769
If we subtract 468 from 480, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 1379.94230769, and the remainder is 1.2e-08.