We look at the division of 8340 by 19 
Let's see how many times 19 fits into 8340.

Going ahead to step 1:
19 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 19

Advancing to step 2:
The number 19 fits into 83 4 times, leaving a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 7 after subtracting 76 from 83.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 19

Advancing to step 3:
74 divided by 19 is 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
Subtracting 57 from 74 leaves us with 17.
Append the next digit (0) from the dividend to 17 and continue with: 170 / 19

On to step 4:
When dividing 170 by 19, we get 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 438.0
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.

Going ahead to step 5:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 438.9
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.

Advancing to step 6:
When dividing 90 by 19, we get 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 438.94
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 7:
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: 438.947
Subtracting 133 from 140 leaves us 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.

Let's proceed to step 8:
When dividing 70 by 19, we get 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 438.9473
The remainder is 13 after subtracting 57 from 70.
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 9:
The number 19 fits into 130 6 times, leaving a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 438.94736
Subtract 114 from 130 to 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 10:
If we divide 160 by 19, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 438.947368
Deduct 152 from 160 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
19 goes into 80 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 438.9473684
Subtracting 76 from 80 leaves us 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.

Step 12:
19 can be fit into 40 2 times, resulting in a remainder of 2.
The next digit of our result is 2. 
Result so far: 438.94736842
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 quotient of the division is 438.94736842, and the remainder is 2e-09.