We look at the division of 350344 by 19 
We're looking to find how many times 19 goes into 350344.

Moving on to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 19

Let's proceed to step 2:
If we divide 35 by 19, we get 1 and a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 19 from 35 to get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 19

Advancing to step 3:
19 can be fit into 160 8 times, resulting in a remainder of 8.
The next digit of our result is 8. 
Result so far: 18.0
If we subtract 152 from 160, we get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 19

Moving on to step 4:
If we divide 83 by 19, we get 4 and a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 184.0
Subtracting 76 from 83 leaves us with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 19

On to step 5:
If we divide 74 by 19, we get 3 and a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 1843.0
If we subtract 57 from 74, we get 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 19

Going ahead to step 6:
19 goes into 174 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 18439.0
The remainder is 3 after subtracting 171 from 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 18439.1
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 18439.15
Deduct 95 from 110 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
When dividing 150 by 19, we get 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 18439.157
If we take 133 away from 150, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 10:
19 goes into 170 8 times with a remainder of 18.
The next digit of our result is 8. 
Result so far: 18439.1578
If we subtract 152 from 170, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 11:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 18439.15789
Deduct 171 from 180 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
90 divided by 19 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 18439.157894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
19 can be fit into 140 7 times, resulting in a remainder of 7.
The next digit of our result is 7. 
Result so far: 18439.1578947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
19 can be fit into 70 3 times, resulting in a remainder of 13.
The next digit of our result is 3. 
Result so far: 18439.15789473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 18439.15789473 and a remainder of 1.3e-08.