We look at the division of 282070 by 13 
The aim is to understand the frequency of 13 in 282070.

On to step 1:
13 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 13

Let's proceed to step 2:
28 divided by 13 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 2 after subtracting 26 from 28.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

Going ahead to step 3:
If we divide 22 by 13, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
The remainder is 9 after subtracting 13 from 22.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 13

Let's proceed to step 4:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 216.0
Subtract 78 from 90 to get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 13

Moving on to step 5:
13 can be fit into 127 9 times, resulting in a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 2169.0
If we subtract 117 from 127, we get 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 13

Step 6:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 21697.0
Subtracting 91 from 100 leaves us 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.

On to step 7:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 21697.6
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 21697.69
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 21697.692
If we take 26 away from 30, 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.

Let's proceed to step 10:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 21697.6923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 21697.6923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 21697.692307
The remainder is 9 after subtracting 91 from 100.
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 13:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 21697.6923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 21697.69230769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 21697.69230769 with a remaining 3e-09.