253414 ÷ 71 
The aim is to understand the frequency of 71 in 253414.

Going ahead to step 1:
The number 71 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 71

On to step 2:
When dividing 25 by 71, we get 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 71

Advancing to step 3:
When dividing 253 by 71, we get 3 with a remainder of 40.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 213 from 253 to get 40.
Fetch the next digit (4) from the dividend, attach it to 40 and continue: 404 / 71

On to step 4:
404 divided by 71 is 5 with a remainder of 49.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Subtracting 355 from 404 leaves us with 49.
Include the next digit (1) from the dividend after 49, then repeat: 491 / 71

Step 5:
71 can be fit into 491 6 times, resulting in a remainder of 65.
Record the quotient 6 as the next digit in the result. 
Result so far: 356.0
Subtracting 426 from 491 leaves us with 65.
Grab the next digit (4) from the dividend, add it to 65, then carry on: 654 / 71

Let's proceed to step 6:
654 divided by 71 is 9 with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 3569.0
The remainder is 15 after subtracting 639 from 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
71 can be fit into 150 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 3569.2
Subtracting 142 from 150 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
The number 71 fits into 80 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 3569.21
Deduct 71 from 80 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
The number 71 fits into 90 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 3569.211
If we subtract 71 from 90, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final result is 3569.211 with a remainder of 0.0019.