We're dividing 19363 by 3 
Our goal is to divide 19363 by 3.

Let's proceed to step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 3

Let's proceed to step 2:
3 can be fit into 19 6 times, resulting in a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 18 from 19, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Let's proceed to step 3:
3 can be fit into 13 4 times, resulting in a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 64.0
If we subtract 12 from 13, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

On to step 4:
16 divided by 3 is 5 with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 645.0
Subtracting 15 from 16 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Going ahead to step 5:
If we divide 13 by 3, we get 4 and a remainder of 1.
The next digit of our result is 4. 
Result so far: 6454.0
Subtract 12 from 13 to 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.

Step 6:
The number 3 fits into 10 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 6454.3
Subtracting 9 from 10 leaves us 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.

Going ahead to step 7:
When dividing 10 by 3, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 6454.33
Subtract 9 from 10 to 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.

The final result is 6454.33 with a remainder of 0.001.