51342 ÷ 71 
The aim is to understand the frequency of 71 in 51342.

Going ahead to step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 71

Step 2:
51 divided by 71 is 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Fetch the next digit (3) from the dividend, attach it to 51 and continue: 513 / 71

Moving on to step 3:
When dividing 513 by 71, we get 7 with a remainder of 16.
The next digit of our result is 7. 
Result so far: 7.0
If we take 497 away from 513, we end up with 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 71

Let's proceed to step 4:
If we divide 164 by 71, we get 2 and a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
The remainder is 22 after subtracting 142 from 164.
Include the next digit (2) from the dividend after 22, then repeat: 222 / 71

Moving on to step 5:
71 goes into 222 3 times with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 723.0
Subtract 213 from 222 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 6:
When dividing 90 by 71, we get 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 723.1
The remainder is 19 after subtracting 71 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
71 can be fit into 190 2 times, resulting in a remainder of 48.
The next digit of our result is 2. 
Result so far: 723.12
Subtract 142 from 190 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 8:
71 can be fit into 480 6 times, resulting in a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 723.126
Deduct 426 from 480 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 9:
540 divided by 71 is 7 with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 723.1267
If we take 497 away from 540, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 10:
71 can be fit into 430 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 723.12676
If we take 426 away from 430, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
71 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 723.12676
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
400 divided by 71 is 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 723.1267605
The remainder is 45 after subtracting 355 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 13:
When dividing 450 by 71, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 723.12676056
Subtract 426 from 450 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 723.12676056, and the remainder is 2.4e-08.