576974 ÷ 19 
We want to figure out the number of times 576974 can be divided by 19.

Let's proceed to step 1:
19 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 19

Let's proceed to step 2:
The number 19 fits into 57 3 times, leaving a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 57 from 57 and we're left with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 19

Moving on to step 3:
19 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 19

Advancing to step 4:
If we divide 69 by 19, we get 3 and a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 303.0
The remainder is 12 after subtracting 57 from 69.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 19

Advancing to step 5:
19 can be fit into 127 6 times, resulting in a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 3036.0
If we take 114 away from 127, we end up with 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 19

Going ahead to step 6:
When dividing 134 by 19, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 30367.0
The remainder is 1 after subtracting 133 from 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 19, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 30367.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 19, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 30367.05
Deduct 95 from 100 and we're left with 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 9:
When dividing 50 by 19, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 30367.052
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 30367.0526
Deduct 114 from 120 and we're left 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.

On to step 11:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 30367.05263
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 12:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 30367.052631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 13:
19 goes into 110 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 30367.0526315
Subtracting 95 from 110 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
19 goes into 150 7 times with a remainder of 17.
The next digit of our result is 7. 
Result so far: 30367.05263157
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 30367.05263157 with a balance of 1.7e-08.