578966 divided by 19 
Let's see how many times 19 fits into 578966.

Going ahead to step 1:
19 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 19

Step 2:
The number 19 fits into 57 3 times, leaving a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 57 from 57 to get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 19

Step 3:
8 divided by 19 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 19

Advancing to step 4:
19 goes into 89 4 times with a remainder of 13.
The next digit of our result is 4. 
Result so far: 304.0
If we take 76 away from 89, we end up with 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 19

Advancing to step 5:
19 goes into 136 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 3047.0
Subtracting 133 from 136 leaves us with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 19

Let's proceed to step 6:
19 goes into 36 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 30471.0
Deduct 19 from 36 and we're left 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.

Step 7:
19 can be fit into 170 8 times, resulting in a remainder of 18.
The next digit of our result is 8. 
Result so far: 30471.8
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.

On to step 8:
19 goes into 180 9 times with a remainder of 9.
The next digit of our result is 9. 
Result so far: 30471.89
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.

On to step 9:
19 goes into 90 4 times with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 30471.894
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
19 goes into 140 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 30471.8947
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.

Step 11:
If we divide 70 by 19, we get 3 and a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 30471.89473
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.

Step 12:
19 goes into 130 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 30471.894736
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.

Going ahead to step 13:
19 goes into 160 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 30471.8947368
Subtracting 152 from 160 leaves us 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 14:
19 goes into 80 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 30471.89473684
Subtract 76 from 80 to 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.

The quotient of the division is 30471.89473684, and the remainder is 4e-09.