281745 divided by 13 
We're looking to find how many times 13 goes into 281745.

Step 1:
2 divided by 13 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 13

Step 2:
13 can be fit into 28 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 2 after subtracting 26 from 28.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 13

On to step 3:
13 goes into 21 1 times with a remainder of 8.
The next digit of our result is 1. 
Result so far: 21.0
The remainder is 8 after subtracting 13 from 21.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 13

Let's proceed to step 4:
13 can be fit into 87 6 times, resulting in a remainder of 9.
The next digit of our result is 6. 
Result so far: 216.0
Subtract 78 from 87 to get 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 13

Advancing to step 5:
When dividing 94 by 13, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 2167.0
Subtract 91 from 94 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 13

Moving on to step 6:
If we divide 35 by 13, we get 2 and a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 21672.0
The remainder is 9 after subtracting 26 from 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 21672.6
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 21672.69
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 21672.692
Subtracting 26 from 30 leaves us 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.

Step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 21672.6923
If we subtract 39 from 40, we 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.

Going ahead to step 11:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 21672.6923
If we take 0 away from 10, we end up 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 12:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 21672.692307
Deduct 91 from 100 and we're left 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.

Moving on to step 13:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 21672.6923076
If we subtract 78 from 90, we 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.

On to step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 21672.69230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 21672.69230769 with a balance of 3e-09.