550588 ÷ 19 
We're looking to find how many times 19 goes into 550588.

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
Deduct 0 from 5 and we're left with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 19

On to step 2:
55 divided by 19 is 2 with a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 38 from 55 leaves us with 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 19

Advancing to step 3:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 28.0
If we take 152 away from 170, we end up with 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 19

Step 4:
185 divided by 19 is 9 with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 289.0
The remainder is 14 after subtracting 171 from 185.
Append the next digit (8) from the dividend to 14 and continue with: 148 / 19

Advancing to step 5:
If we divide 148 by 19, we get 7 and a remainder of 15.
The next digit of our result is 7. 
Result so far: 2897.0
Subtract 133 from 148 to get 15.
Grab the next digit (8) from the dividend, add it to 15, then carry on: 158 / 19

Step 6:
The number 19 fits into 158 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 28978.0
The remainder is 6 after subtracting 152 from 158.
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 7:
19 goes into 60 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 28978.3
Deduct 57 from 60 and we're left 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.

Let's proceed to step 8:
When dividing 30 by 19, we get 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 28978.31
If we take 19 away from 30, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
19 goes into 110 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 28978.315
If we subtract 95 from 110, we get 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 10:
150 divided by 19 is 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 28978.3157
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.

Advancing to step 11:
19 can be fit into 170 8 times, resulting in a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 28978.31578
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.

Let's proceed to step 12:
When dividing 180 by 19, we get 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 28978.315789
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.

Going ahead to step 13:
19 goes into 90 4 times with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 28978.3157894
Subtract 76 from 90 to 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 14:
140 divided by 19 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 28978.31578947
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.

The final outcome is 28978.31578947, with a leftover of 7e-09.