173771 ÷ 13 
The aim is to understand the frequency of 13 in 173771.

Moving on to step 1:
13 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 13

Advancing to step 2:
13 goes into 17 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 13 from 17 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 13

Step 3:
13 can be fit into 43 3 times, resulting in a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 39 from 43 to get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 13

On to step 4:
When dividing 47 by 13, we get 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 133.0
If we take 39 away from 47, we end up with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 13

Going ahead to step 5:
87 divided by 13 is 6 with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 1336.0
If we take 78 away from 87, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 13

Advancing to step 6:
When dividing 91 by 13, we get 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 13367.0
If we take 91 away from 91, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
The number 13 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 13367.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
When dividing 0 by 13, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 13367.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 13367.0 with a remainder of 0.0.