219857 ÷ 13 
The aim is to understand the frequency of 13 in 219857.

Step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 13

Going ahead to step 2:
The number 13 fits into 21 1 times, leaving a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 13 from 21 leaves us with 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 13

Advancing to step 3:
13 can be fit into 89 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtracting 78 from 89 leaves us with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 13

Advancing to step 4:
13 can be fit into 118 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 169.0
If we take 117 away from 118, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 13

Step 5:
When dividing 15 by 13, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1691.0
If we subtract 13 from 15, we get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 13

On to step 6:
27 divided by 13 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 16912.0
The remainder is 1 after subtracting 26 from 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 16912.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 16912.07
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.

Let's proceed to step 9:
90 divided by 13 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 16912.076
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.

Advancing to step 10:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 16912.0769
If we take 117 away from 120, we end up 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.

Moving on to step 11:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 16912.07692
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.

Moving on to step 12:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 16912.076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 16912.076923
Subtracting 0 from 10 leaves us 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.

Advancing to step 14:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 16912.07692307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 16912.07692307, and the remainder is 9e-09.