We look at the division of 105710 by 71 
The aim is to understand the frequency of 71 in 105710.

Going ahead to step 1:
1 divided by 71 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 71

Going ahead to step 2:
The number 71 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 71

Step 3:
When dividing 105 by 71, we get 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 71 from 105, we get 34.
Fetch the next digit (7) from the dividend, attach it to 34 and continue: 347 / 71

Going ahead to step 4:
If we divide 347 by 71, we get 4 and a remainder of 63.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we subtract 284 from 347, we get 63.
Fetch the next digit (1) from the dividend, attach it to 63 and continue: 631 / 71

Going ahead to step 5:
631 divided by 71 is 8 with a remainder of 63.
The next digit of our result is 8. 
Result so far: 148.0
If we subtract 568 from 631, we get 63.
Include the next digit (0) from the dividend after 63, then repeat: 630 / 71

Moving on to step 6:
The number 71 fits into 630 8 times, leaving a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 1488.0
If we take 568 away from 630, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 7:
When dividing 620 by 71, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 1488.8
The remainder is 52 after subtracting 568 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 8:
When dividing 520 by 71, we get 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 1488.87
If we take 497 away from 520, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
When dividing 230 by 71, we get 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 1488.873
Subtracting 213 from 230 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
If we divide 170 by 71, we get 2 and a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 1488.8732
If we take 142 away from 170, we end up 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.

Going ahead to step 11:
The number 71 fits into 280 3 times, leaving a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 1488.87323
Subtracting 213 from 280 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 12:
71 goes into 670 9 times with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 1488.873239
Deduct 639 from 670 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 13:
The number 71 fits into 310 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 1488.8732394
If we take 284 away from 310, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 14:
71 goes into 260 3 times with a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 1488.87323943
If we subtract 213 from 260, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The final result is 1488.87323943 with a remainder of 4.7e-08.