We're dividing 281941 by 19 
We want to figure out the number of times 281941 can be divided by 19.

On to step 1:
The number 19 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 19

Step 2:
28 divided by 19 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 19 from 28 to get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 19

Moving on to step 3:
The number 19 fits into 91 4 times, leaving a remainder of 15.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Subtracting 76 from 91 leaves us with 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 19

On to step 4:
19 can be fit into 159 8 times, resulting in a remainder of 7.
The next digit of our result is 8. 
Result so far: 148.0
If we subtract 152 from 159, we get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 19

Step 5:
When dividing 74 by 19, we get 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1483.0
Deduct 57 from 74 and we're left with 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 19

On to step 6:
19 goes into 171 9 times with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 14839.0
Subtract 171 from 171 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
19 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 14839.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
19 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 14839.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 14839.0 with a remaining 0.0.