We're dividing 557543 by 71 
The aim is to understand the frequency of 71 in 557543.

Let's proceed to step 1:
When dividing 5 by 71, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 71

On to step 2:
71 goes into 55 0 times with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Bring next digit (7) of the dividend behind the 55 and repeat the process: 557 / 71

Going ahead to step 3:
The number 71 fits into 557 7 times, leaving a remainder of 60.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 497 from 557 to get 60.
Include the next digit (5) from the dividend after 60, then repeat: 605 / 71

On to step 4:
If we divide 605 by 71, we get 8 and a remainder of 37.
Put 8 as the next digit of the answer. 
Result so far: 78.0
The remainder is 37 after subtracting 568 from 605.
Append the next digit (4) from the dividend to 37 and continue with: 374 / 71

Step 5:
When dividing 374 by 71, we get 5 with a remainder of 19.
Record the quotient 5 as the next digit in the result. 
Result so far: 785.0
Subtract 355 from 374 to get 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 71

Going ahead to step 6:
When dividing 193 by 71, we get 2 with a remainder of 51.
Use 2 as the next digit of our solution. 
Result so far: 7852.0
Deduct 142 from 193 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 7:
71 goes into 510 7 times with a remainder of 13.
The next digit of our result is 7. 
Result so far: 7852.7
The remainder is 13 after subtracting 497 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
71 can be fit into 130 1 times, resulting in a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 7852.71
Subtract 71 from 130 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 9:
71 goes into 590 8 times with a remainder of 22.
The next digit of our result is 8. 
Result so far: 7852.718
Subtracting 568 from 590 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 10:
71 goes into 220 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 7852.7183
Subtracting 213 from 220 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
71 can be fit into 70 0 times, resulting in a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 7852.7183
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 12:
71 can be fit into 700 9 times, resulting in a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 7852.718309
If we take 639 away from 700, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 13:
When dividing 610 by 71, we get 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 7852.7183098
Subtract 568 from 610 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.

Advancing to step 14:
The number 71 fits into 420 5 times, leaving a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 7852.71830985
If we subtract 355 from 420, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

In conclusion, the division gives 7852.71830985 with a balance of 6.5e-08.