We're dividing 363628 by 19 
We're looking to find how many times 19 goes into 363628.

Step 1:
When dividing 3 by 19, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 19

On to step 2:
When dividing 36 by 19, we get 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 19 from 36 leaves us with 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 19

On to step 3:
The number 19 fits into 173 9 times, leaving a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we subtract 171 from 173, we get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 19

Let's proceed to step 4:
19 goes into 26 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 191.0
The remainder is 7 after subtracting 19 from 26.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 19

Let's proceed to step 5:
If we divide 72 by 19, we get 3 and a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 1913.0
Subtract 57 from 72 to get 15.
Grab the next digit (8) from the dividend, add it to 15, then carry on: 158 / 19

Moving on to step 6:
19 goes into 158 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 19138.0
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.

Moving on to step 7:
19 goes into 60 3 times with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 19138.3
If we subtract 57 from 60, we get 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.
The next digit of our result is 1. 
Result so far: 19138.31
Subtract 19 from 30 to 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.

Going ahead to step 9:
The number 19 fits into 110 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 19138.315
If we take 95 away from 110, we end up 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.

Step 10:
If we divide 150 by 19, we get 7 and a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 19138.3157
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.

Step 11:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 19138.31578
Deduct 152 from 170 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
180 divided by 19 is 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 19138.315789
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.

On to step 13:
When dividing 90 by 19, we get 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 19138.3157894
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.

Step 14:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 19138.31578947
If we take 133 away from 140, we end up 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.

After the division, we end up with 19138.31578947 and a remainder of 7e-09.