We look at the division of 351329 by 19 
We want to divide 351329 by 19.

Advancing to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 19

Step 2:
The number 19 fits into 35 1 times, leaving a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 19 from 35 leaves us with 16.
Append the next digit (1) from the dividend to 16 and continue with: 161 / 19

Going ahead to step 3:
19 can be fit into 161 8 times, resulting in a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Deduct 152 from 161 and we're left with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 19

Advancing to step 4:
93 divided by 19 is 4 with a remainder of 17.
The next digit of our result is 4. 
Result so far: 184.0
The remainder is 17 after subtracting 76 from 93.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 19

Let's proceed to step 5:
172 divided by 19 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 1849.0
The remainder is 1 after subtracting 171 from 172.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 19

Advancing to step 6:
19 divided by 19 is 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 18491.0
The remainder is 0 after subtracting 19 from 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
19 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 18491.0
Subtract 0 from 0 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.

Step 8:
When dividing 0 by 19, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 18491.0
Deduct 0 from 0 and we're left 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.

After the division, we end up with 18491.0 and a remainder of 0.0.