355828 ÷ 19 
Let's see how many times 19 fits into 355828.

Step 1:
19 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 19

Step 2:
19 can be fit into 35 1 times, resulting in a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 19 from 35 to get 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 19

Let's proceed to step 3:
165 divided by 19 is 8 with a remainder of 13.
The next digit of our result is 8. 
Result so far: 18.0
Deduct 152 from 165 and we're left with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 19

Moving on to step 4:
If we divide 138 by 19, we get 7 and a remainder of 5.
The next digit of our result is 7. 
Result so far: 187.0
If we take 133 away from 138, we end up with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 19

Step 5:
The number 19 fits into 52 2 times, leaving a remainder of 14.
The next digit of our result is 2. 
Result so far: 1872.0
Deduct 38 from 52 and we're left with 14.
Take the next digit (8) from the dividend and append it to 14, then repeat: 148 / 19

Advancing to step 6:
19 goes into 148 7 times with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 18727.0
If we take 133 away from 148, we end up 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 7:
19 can be fit into 150 7 times, resulting in a remainder of 17.
The next digit of our result is 7. 
Result so far: 18727.7
Subtracting 133 from 150 leaves us 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.

Going ahead to step 8:
When dividing 170 by 19, we get 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 18727.78
Subtract 152 from 170 to 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.

On to step 9:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 18727.789
Subtract 171 from 180 to get 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 10:
19 goes into 90 4 times with a remainder of 14.
The next digit of our result is 4. 
Result so far: 18727.7894
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.

Going ahead to step 11:
140 divided by 19 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 18727.78947
If we take 133 away from 140, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
19 can be fit into 70 3 times, resulting in a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 18727.789473
Subtracting 57 from 70 leaves us 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.

On to step 13:
If we divide 130 by 19, we get 6 and a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 18727.7894736
Subtracting 114 from 130 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
19 goes into 160 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 18727.78947368
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 18727.78947368 with a remainder of 8e-09.