We're dividing 563577 by 19 
We're looking to find how many times 19 goes into 563577.

Advancing to step 1:
When dividing 5 by 19, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 19

Advancing to step 2:
56 divided by 19 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 38 away from 56, we end up with 18.
Append the next digit (3) from the dividend to 18 and continue with: 183 / 19

Going ahead to step 3:
183 divided by 19 is 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
If we take 171 away from 183, we end up with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 19

Step 4:
The number 19 fits into 125 6 times, leaving a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 296.0
The remainder is 11 after subtracting 114 from 125.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 19

Moving on to step 5:
When dividing 117 by 19, we get 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 2966.0
Deduct 114 from 117 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 19

Step 6:
If we divide 37 by 19, we get 1 and a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 29661.0
Subtract 19 from 37 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 7:
The number 19 fits into 180 9 times, leaving a remainder of 9.
The next digit of our result is 9. 
Result so far: 29661.9
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.

Let's proceed to step 8:
If we divide 90 by 19, we get 4 and a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 29661.94
If we take 76 away from 90, we end up 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.

Let's proceed to step 9:
19 goes into 140 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 29661.947
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.

Going ahead to step 10:
19 goes into 70 3 times with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 29661.9473
If we subtract 57 from 70, we 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.

Let's proceed to step 11:
If we divide 130 by 19, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 29661.94736
Subtracting 114 from 130 leaves us 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.

Advancing to step 12:
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: 29661.947368
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.

Moving on to step 13:
When dividing 80 by 19, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 29661.9473684
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.

Advancing to step 14:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 29661.94736842
If we take 38 away from 40, we end up 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 outcome is 29661.94736842, with a leftover of 2e-09.