Let's divide 113966 by 71
The aim is to understand the frequency of 71 in 113966.

Advancing to step 1:
When dividing 1 by 71, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 71

On to step 2:
71 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 71

Step 3:
The number 71 fits into 113 1 times, leaving a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 71 from 113 to get 42.
Take the next digit (9) from the dividend and append it to 42, then repeat: 429 / 71

Going ahead to step 4:
429 divided by 71 is 6 with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtracting 426 from 429 leaves us with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 71

Going ahead to step 5:
36 divided by 71 is 0 with a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 160.0
Deduct 0 from 36 and we're left with 36.
Grab the next digit (6) from the dividend, add it to 36, then carry on: 366 / 71

Step 6:
366 divided by 71 is 5 with a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 1605.0
If we subtract 355 from 366, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
71 goes into 110 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 1605.1
Subtracting 71 from 110 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 8:
When dividing 390 by 71, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 1605.15
Deduct 355 from 390 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
When dividing 350 by 71, we get 4 with a remainder of 66.
Use 4 as the next digit of our solution. 
Result so far: 1605.154
If we subtract 284 from 350, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 10:
660 divided by 71 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 1605.1549
If we take 639 away from 660, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 11:
71 can be fit into 210 2 times, resulting in a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 1605.15492
The remainder is 68 after subtracting 142 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 12:
If we divide 680 by 71, we get 9 and a remainder of 41.
The next digit of our result is 9. 
Result so far: 1605.154929
If we subtract 639 from 680, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 13:
71 goes into 410 5 times with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 1605.1549295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 14:
The number 71 fits into 550 7 times, leaving a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 1605.15492957
Subtracting 497 from 550 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 1605.15492957 with a remaining 5.3e-08.