We look at the division of 10514 by 71 
The aim is to understand the frequency of 71 in 10514.

Let's proceed to step 1:
When dividing 1 by 71, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 71

Moving on to step 2:
When dividing 10 by 71, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 71

Advancing to step 3:
105 divided by 71 is 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 34 after subtracting 71 from 105.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 71

Advancing to step 4:
The number 71 fits into 341 4 times, leaving a remainder of 57.
The next digit of our result is 4. 
Result so far: 14.0
If we take 284 away from 341, we end up with 57.
Append the next digit (4) from the dividend to 57 and continue with: 574 / 71

On to step 5:
71 can be fit into 574 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 148.0
If we take 568 away from 574, 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.

On to step 6:
71 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 148.0
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 7:
The number 71 fits into 600 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 148.08
If we subtract 568 from 600, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
71 goes into 320 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 148.084
If we take 284 away from 320, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
The number 71 fits into 360 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 148.0845
The remainder is 5 after subtracting 355 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
When dividing 50 by 71, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 148.0845
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
When dividing 500 by 71, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 148.084507
If we take 497 away from 500, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
The number 71 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 148.084507
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
The number 71 fits into 300 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 148.08450704
If we subtract 284 from 300, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 148.08450704 with a balance of 1.6e-08.