We're dividing 319557 by 19 
We want to divide 319557 by 19.

Going ahead to step 1:
If we divide 3 by 19, we get 0 and 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.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 19

On to step 2:
When dividing 31 by 19, we get 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 19 from 31 leaves us with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 19

On to step 3:
If we divide 129 by 19, we get 6 and a remainder of 15.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 114 from 129 leaves us with 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 19

Step 4:
19 can be fit into 155 8 times, resulting in a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 168.0
Subtract 152 from 155 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 19

Going ahead to step 5:
When dividing 35 by 19, we get 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1681.0
If we take 19 away from 35, we end up with 16.
Include the next digit (7) from the dividend after 16, then repeat: 167 / 19

On to step 6:
When dividing 167 by 19, we get 8 with a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 16818.0
The remainder is 15 after subtracting 152 from 167.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 16818.7
The remainder is 17 after subtracting 133 from 150.
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:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 16818.78
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
19 goes into 180 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 16818.789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
19 goes into 90 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 16818.7894
Deduct 76 from 90 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.

Step 11:
If we divide 140 by 19, we get 7 and a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 16818.78947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
When dividing 70 by 19, we get 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 16818.789473
If we take 57 away from 70, we end up 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.

Let's proceed to step 13:
When dividing 130 by 19, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 16818.7894736
If we subtract 114 from 130, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
When dividing 160 by 19, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 16818.78947368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 16818.78947368 and a remainder of 8e-09.