We divide 319888 by 19
Our goal is to divide 319888 by 19.

Step 1:
19 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 19

On to step 2:
When dividing 31 by 19, we get 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 19 from 31 and we're left with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 19

Going ahead to step 3:
When dividing 129 by 19, we get 6 with a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 114 away from 129, we end up with 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 19

On to step 4:
19 can be fit into 158 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 168.0
If we take 152 away from 158, we end up with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 19

Moving on to step 5:
The number 19 fits into 68 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 1683.0
The remainder is 11 after subtracting 57 from 68.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 19

On to step 6:
19 can be fit into 118 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 16836.0
If we subtract 114 from 118, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
If we divide 40 by 19, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 16836.2
Subtracting 38 from 40 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 19, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 16836.21
If we take 19 away from 20, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
19 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 16836.21
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
If we divide 100 by 19, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 16836.2105
If we subtract 95 from 100, we 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.

Step 11:
If we divide 50 by 19, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 16836.21052
If we subtract 38 from 50, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
19 goes into 120 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 16836.210526
Subtracting 114 from 120 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 16836.2105263
Subtracting 57 from 60 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
If we divide 30 by 19, we get 1 and a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 16836.21052631
Deduct 19 from 30 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 16836.21052631 with a remaining 1.1e-08.