189670 ÷ 13 
The aim is to understand the frequency of 13 in 189670.

Advancing to step 1:
1 divided by 13 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 13

On to step 2:
If we divide 18 by 13, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 13 from 18 and we're left with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 13

Moving on to step 3:
13 can be fit into 59 4 times, resulting in a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 7 after subtracting 52 from 59.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 13

Going ahead to step 4:
76 divided by 13 is 5 with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 145.0
If we subtract 65 from 76, we get 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 13

Moving on to step 5:
117 divided by 13 is 9 with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 1459.0
If we take 117 away from 117, we end up with 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 13

On to step 6:
The number 13 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 14590.0
If we take 0 away from 0, 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.

Let's proceed to step 7:
13 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 14590.0
If we take 0 away from 0, 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.

Step 8:
0 divided by 13 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 14590.0
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.

Our division results in 14590.0 with a remaining 0.0.