We divide 513419 by 18
We want to divide 513419 by 18.

Advancing to step 1:
18 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 18

Moving on to step 2:
The number 18 fits into 51 2 times, leaving a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 36 from 51 to get 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 18

Moving on to step 3:
If we divide 153 by 18, we get 8 and a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 28.0
Deduct 144 from 153 and we're left with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 18

Going ahead to step 4:
If we divide 94 by 18, we get 5 and a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 285.0
If we take 90 away from 94, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 18

Going ahead to step 5:
41 divided by 18 is 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 2852.0
If we subtract 36 from 41, we get 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 18

Going ahead to step 6:
When dividing 59 by 18, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 28523.0
Subtract 54 from 59 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
The number 18 fits into 50 2 times, leaving a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 28523.2
Deduct 36 from 50 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
140 divided by 18 is 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 28523.27
Subtracting 126 from 140 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
When dividing 140 by 18, we get 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 28523.277
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 28523.277 and a remainder of 0.0014.