640122 ÷ 71 
The aim is to understand the frequency of 71 in 640122.

Advancing to step 1:
If we divide 6 by 71, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 71

On to step 2:
71 can be fit into 64 0 times, resulting in a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Grab the next digit (0) from the dividend, add it to 64, then carry on: 640 / 71

Advancing to step 3:
If we divide 640 by 71, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 639 from 640 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 71

Moving on to step 4:
If we divide 11 by 71, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 90.0
Subtracting 0 from 11 leaves us with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 71

Moving on to step 5:
112 divided by 71 is 1 with a remainder of 41.
Put 1 as the next digit of the answer. 
Result so far: 901.0
Subtract 71 from 112 to get 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 71

Advancing to step 6:
When dividing 412 by 71, we get 5 with a remainder of 57.
The next digit of our result is 5. 
Result so far: 9015.0
Subtract 355 from 412 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 7:
71 goes into 570 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 9015.8
Subtract 568 from 570 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
71 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 9015.8
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 71 fits into 200 2 times, leaving a remainder of 58.
The number 2 becomes the next digit in our result. 
Result so far: 9015.802
Deduct 142 from 200 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 10:
71 can be fit into 580 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 9015.8028
Subtract 568 from 580 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
If we divide 120 by 71, we get 1 and a remainder of 49.
The next digit of our result is 1. 
Result so far: 9015.80281
If we subtract 71 from 120, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 12:
71 goes into 490 6 times with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 9015.802816
Deduct 426 from 490 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 13:
If we divide 640 by 71, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 9015.8028169
If we subtract 639 from 640, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
71 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 9015.8028169
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 9015.8028169, and the remainder is 1e-08.