We look at the division of 8242 by 19 
We want to divide 8242 by 19.

Let's proceed to step 1:
When dividing 8 by 19, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 19

Going ahead to step 2:
19 goes into 82 4 times with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 6 after subtracting 76 from 82.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 19

Let's proceed to step 3:
If we divide 64 by 19, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 43.0
Subtracting 57 from 64 leaves us with 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 19

Let's proceed to step 4:
When dividing 72 by 19, we get 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 433.0
The remainder is 15 after subtracting 57 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 5:
When dividing 150 by 19, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 433.7
If we take 133 away from 150, we end up 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 6:
The number 19 fits into 170 8 times, leaving a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 433.78
The remainder is 18 after subtracting 152 from 170.
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 7:
19 goes into 180 9 times with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 433.789
If we subtract 171 from 180, we 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.

Moving on to step 8:
90 divided by 19 is 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 433.7894
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.

Step 9:
19 goes into 140 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 433.78947
Deduct 133 from 140 and we're left 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 10:
If we divide 70 by 19, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 433.789473
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.

Moving on to step 11:
19 goes into 130 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 433.7894736
Deduct 114 from 130 and we're left 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.

Let's proceed to step 12:
160 divided by 19 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 433.78947368
Subtract 152 from 160 to 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 433.78947368 with a remainder of 8e-09.