225922 ÷ 13 
The aim is to understand the frequency of 13 in 225922.

Advancing to step 1:
If we divide 2 by 13, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 13

Moving on to step 2:
If we divide 22 by 13, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 13 from 22 to get 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

Advancing to step 3:
13 can be fit into 95 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 91 from 95 and we're left with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 13

Going ahead to step 4:
13 can be fit into 49 3 times, resulting in a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 173.0
Subtract 39 from 49 to get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 13

Going ahead to step 5:
102 divided by 13 is 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 1737.0
Subtracting 91 from 102 leaves us with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 13

Let's proceed to step 6:
The number 13 fits into 112 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 17378.0
Subtract 104 from 112 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 17378.6
Subtracting 78 from 80 leaves us 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.

Moving on to step 8:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 17378.61
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.

On to step 9:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 17378.615
Subtract 65 from 70 to 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.

Moving on to step 10:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 17378.6153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 17378.61538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 17378.615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 17378.6153846
Subtracting 78 from 80 leaves us 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.

Advancing to step 14:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 17378.61538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 17378.61538461, and the remainder is 7e-09.