146536 ÷ 13 
The aim is to understand the frequency of 13 in 146536.

Step 1:
1 divided by 13 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 13

Advancing to step 2:
13 can be fit into 14 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 13 from 14, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

Going ahead to step 3:
When dividing 16 by 13, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 11.0
If we take 13 away from 16, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 13

Moving on to step 4:
35 divided by 13 is 2 with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 112.0
Subtract 26 from 35 to get 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 13

On to step 5:
13 goes into 93 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 1127.0
The remainder is 2 after subtracting 91 from 93.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 13

Advancing to step 6:
26 divided by 13 is 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 11272.0
Subtracting 26 from 26 leaves us 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 7:
13 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 11272.0
If we subtract 0 from 0, we 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.

Step 8:
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: 11272.0
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.

After the division, we end up with 11272.0 and a remainder of 0.0.