We look at the division of 22719 by 13 
Our goal is to divide 22719 by 13.

Going ahead to step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 13

Step 2:
When dividing 22 by 13, we get 1 with 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 (7) from the dividend and append it to 9, then repeat: 97 / 13

Moving on to step 3:
13 can be fit into 97 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 91 from 97 and we're left with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 13

Let's proceed to step 4:
61 divided by 13 is 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 174.0
Deduct 52 from 61 and we're left with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 13

Going ahead to step 5:
13 can be fit into 99 7 times, resulting in a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 1747.0
Deduct 91 from 99 and we're left 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.

Moving on to step 6:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 1747.6
Subtract 78 from 80 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.

Going ahead to step 7:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1747.61
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.

Let's proceed to step 8:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1747.615
The remainder is 5 after subtracting 65 from 70.
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 9:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 1747.6153
If we subtract 39 from 50, we 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.

On to step 10:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 1747.61538
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.

Advancing to step 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 1747.615384
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.

On to step 12:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 1747.6153846
If we subtract 78 from 80, we 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.

Let's proceed to step 13:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1747.61538461
Deduct 13 from 20 and we're left with 7.
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 1747.61538461, and the remainder is 7e-09.