We divide 278311 by 19
Our goal is to divide 278311 by 19.

Let's proceed to step 1:
19 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 19

Moving on to step 2:
When dividing 27 by 19, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 19 from 27 leaves us with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 19

On to step 3:
If we divide 88 by 19, we get 4 and a remainder of 12.
The next digit of our result is 4. 
Result so far: 14.0
If we take 76 away from 88, we end up with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 19

Step 4:
If we divide 123 by 19, we get 6 and a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 146.0
If we take 114 away from 123, we end up with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 19

Moving on to step 5:
When dividing 91 by 19, we get 4 with a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 1464.0
The remainder is 15 after subtracting 76 from 91.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 19

Let's proceed to step 6:
19 can be fit into 151 7 times, resulting in a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 14647.0
Subtracting 133 from 151 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.

On to step 7:
When dividing 180 by 19, we get 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 14647.9
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.

Going ahead to step 8:
19 goes into 90 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 14647.94
Subtracting 76 from 90 leaves us 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.

Moving on to step 9:
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: 14647.947
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.

Moving on to step 10:
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: 14647.9473
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 11:
When dividing 130 by 19, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 14647.94736
The remainder is 16 after subtracting 114 from 130.
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 12:
160 divided by 19 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 14647.947368
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.

Going ahead to step 13:
When dividing 80 by 19, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 14647.9473684
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
If we divide 40 by 19, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 14647.94736842
Deduct 38 from 40 and we're left 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.

The final result is 14647.94736842 with a remainder of 2e-09.