13019 divided by 3 
Let's see how many times 3 fits into 13019.

Let's proceed to step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 3

Going ahead to step 2:
If we divide 13 by 3, we get 4 and a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 1 after subtracting 12 from 13.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Step 3:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 43.0
Subtract 9 from 10 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Advancing to step 4:
3 goes into 11 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 433.0
Deduct 9 from 11 and we're left with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 3

Moving on to step 5:
29 divided by 3 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 4339.0
Deduct 27 from 29 and we're left with 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 6:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 4339.6
Subtract 18 from 20 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.

Moving on to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 4339.66
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 4339.66 and a remainder of 0.002.