We look at the division of 281363 by 13 
Let's see how many times 13 fits into 281363.

Moving on to step 1:
13 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 13

Advancing to step 2:
If we divide 28 by 13, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 26 from 28 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 13

Moving on to step 3:
When dividing 21 by 13, we get 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 21.0
If we subtract 13 from 21, we get 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 13

Let's proceed to step 4:
When dividing 83 by 13, we get 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 216.0
If we subtract 78 from 83, we get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 13

Going ahead to step 5:
56 divided by 13 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 2164.0
If we subtract 52 from 56, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 13

Going ahead to step 6:
If we divide 43 by 13, we get 3 and a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 21643.0
If we subtract 39 from 43, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 21643.3
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 21643.3
If we subtract 0 from 10, we 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.

Advancing to step 9:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 21643.307
Subtract 91 from 100 to 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.

On to step 10:
90 divided by 13 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 21643.3076
Subtract 78 from 90 to get 12.
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 11:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 21643.30769
Subtracting 117 from 120 leaves us 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.

Advancing to step 12:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 21643.307692
If we subtract 26 from 30, we get 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 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 21643.3076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 21643.3076923
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.

Our division results in 21643.3076923 with a remaining 1e-08.