We look at the division of 533353 by 13 
The aim is to understand the frequency of 13 in 533353.

On to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 13

Moving on to step 2:
13 goes into 53 4 times with a remainder of 1.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 52 from 53, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 13

Step 3:
The number 13 fits into 13 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Subtracting 13 from 13 leaves us with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 13

On to step 4:
The number 13 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 410.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 13

Let's proceed to step 5:
13 goes into 35 2 times with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 4102.0
If we take 26 away from 35, we end up with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 13

Let's proceed to step 6:
If we divide 93 by 13, we get 7 and a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 41027.0
Subtract 91 from 93 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 41027.1
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 41027.15
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 41027.153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 10:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 41027.1538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 41027.15384
Subtracting 52 from 60 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.

Step 12:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 41027.153846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 41027.1538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 14:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 41027.15384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 41027.15384615, and the remainder is 5e-09.