364375 ÷ 19 
We're looking to find how many times 19 goes into 364375.

Advancing to step 1:
3 divided by 19 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 19

Moving on to step 2:
19 can be fit into 36 1 times, resulting in a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 19 from 36 leaves us with 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 19

Moving on to step 3:
If we divide 174 by 19, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we subtract 171 from 174, we get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 19

Advancing to step 4:
If we divide 33 by 19, we get 1 and a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 191.0
Deduct 19 from 33 and we're left with 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 19

On to step 5:
The number 19 fits into 147 7 times, leaving a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 1917.0
Subtracting 133 from 147 leaves us with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 19

Moving on to step 6:
If we divide 145 by 19, we get 7 and a remainder of 12.
The next digit of our result is 7. 
Result so far: 19177.0
Deduct 133 from 145 and we're left 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.

Let's proceed to step 7:
When dividing 120 by 19, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 19177.6
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
19 goes into 60 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 19177.63
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 9:
19 goes into 30 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 19177.631
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 10:
110 divided by 19 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 19177.6315
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.

Step 11:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 19177.63157
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
19 goes into 170 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 19177.631578
If we take 152 away from 170, we end up 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.

Advancing to step 13:
If we divide 180 by 19, we get 9 and a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 19177.6315789
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 14:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 19177.63157894
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.

The quotient of the division is 19177.63157894, and the remainder is 1.4e-08.