501952 divided by 71 
The aim is to understand the frequency of 71 in 501952.

Let's proceed to step 1:
When dividing 5 by 71, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 71

Step 2:
When dividing 50 by 71, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Append the next digit (1) from the dividend to 50 and continue with: 501 / 71

On to step 3:
When dividing 501 by 71, we get 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 497 from 501 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 71

Advancing to step 4:
The number 71 fits into 49 0 times, leaving a remainder of 49.
Write down 0 as next digit of the result. 
Result so far: 70.0
Deduct 0 from 49 and we're left with 49.
Grab the next digit (5) from the dividend, add it to 49, then carry on: 495 / 71

Let's proceed to step 5:
When dividing 495 by 71, we get 6 with a remainder of 69.
The number 6 becomes the next digit in our result. 
Result so far: 706.0
If we take 426 away from 495, we end up with 69.
Take the next digit (2) from the dividend and append it to 69, then repeat: 692 / 71

Let's proceed to step 6:
The number 71 fits into 692 9 times, leaving a remainder of 53.
Record the quotient 9 as the next digit in the result. 
Result so far: 7069.0
The remainder is 53 after subtracting 639 from 692.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 7:
530 divided by 71 is 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 7069.7
If we subtract 497 from 530, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
71 can be fit into 330 4 times, resulting in a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 7069.74
If we take 284 away from 330, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 9:
When dividing 460 by 71, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 7069.746
If we subtract 426 from 460, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 10:
340 divided by 71 is 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 7069.7464
Subtract 284 from 340 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 11:
If we divide 560 by 71, we get 7 and a remainder of 63.
Record the quotient 7 as the next digit in the result. 
Result so far: 7069.74647
If we take 497 away from 560, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 12:
71 goes into 630 8 times with a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 7069.746478
The remainder is 62 after subtracting 568 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 13:
620 divided by 71 is 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 7069.7464788
If we take 568 away from 620, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Our division results in 7069.7464788 with a remaining 5.2e-07.