120813 ÷ 71 
The aim is to understand the frequency of 71 in 120813.

On to step 1:
The number 71 fits into 1 0 times, leaving 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.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 71

Moving on to step 2:
12 divided by 71 is 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 71

On to step 3:
71 can be fit into 120 1 times, resulting in a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 71 from 120, we get 49.
Grab the next digit (8) from the dividend, add it to 49, then carry on: 498 / 71

Going ahead to step 4:
498 divided by 71 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 497 from 498 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 71

Moving on to step 5:
71 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 170.0
Deduct 0 from 11 and we're left with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 71

Step 6:
The number 71 fits into 113 1 times, leaving a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 1701.0
The remainder is 42 after subtracting 71 from 113.
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 7:
When dividing 420 by 71, we get 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 1701.5
If we take 355 away from 420, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 8:
71 can be fit into 650 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 1701.59
The remainder is 11 after subtracting 639 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
110 divided by 71 is 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 1701.591
If we subtract 71 from 110, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 10:
71 goes into 390 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 1701.5915
The remainder is 35 after subtracting 355 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 11:
350 divided by 71 is 4 with a remainder of 66.
The next digit of our result is 4. 
Result so far: 1701.59154
Deduct 284 from 350 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 12:
71 goes into 660 9 times with a remainder of 21.
The next digit of our result is 9. 
Result so far: 1701.591549
Deduct 639 from 660 and we're left 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.

Going ahead to step 13:
If we divide 210 by 71, we get 2 and a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 1701.5915492
Subtracting 142 from 210 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 14:
The number 71 fits into 680 9 times, leaving a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 1701.59154929
Subtracting 639 from 680 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final result is 1701.59154929 with a remainder of 4.1e-08.