We're dividing 105291 by 71 
The aim is to understand the frequency of 71 in 105291.

Going ahead to step 1:
The number 71 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 71

Let's proceed to step 2:
71 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 71

Moving on to step 3:
The number 71 fits into 105 1 times, leaving a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 71 from 105, we get 34.
Append the next digit (2) from the dividend to 34 and continue with: 342 / 71

Step 4:
The number 71 fits into 342 4 times, leaving a remainder of 58.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 284 from 342 to get 58.
Fetch the next digit (9) from the dividend, attach it to 58 and continue: 589 / 71

Going ahead to step 5:
71 goes into 589 8 times with a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 148.0
Subtracting 568 from 589 leaves us with 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 71

On to step 6:
If we divide 211 by 71, we get 2 and a remainder of 69.
Put 2 as the next digit of the answer. 
Result so far: 1482.0
If we take 142 away from 211, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 7:
When dividing 690 by 71, we get 9 with a remainder of 51.
Put 9 as the next digit of the answer. 
Result so far: 1482.9
Subtracting 639 from 690 leaves us 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.

Going ahead to step 8:
When dividing 510 by 71, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 1482.97
Subtracting 497 from 510 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 9:
130 divided by 71 is 1 with a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 1482.971
Subtracting 71 from 130 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 10:
When dividing 590 by 71, we get 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 1482.9718
Subtract 568 from 590 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 11:
If we divide 220 by 71, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 1482.97183
The remainder is 7 after subtracting 213 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
70 divided by 71 is 0 with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 1482.97183
If we subtract 0 from 70, we get 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 13:
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: 1482.9718309
If we subtract 639 from 700, we get 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 14:
When dividing 610 by 71, we get 8 with a remainder of 42.
The next digit of our result is 8. 
Result so far: 1482.97183098
Deduct 568 from 610 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 1482.97183098 with a remaining 4.2e-08.