We're dividing 378666 by 19 
Let's see how many times 19 fits into 378666.

Step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 19

Going ahead to step 2:
The number 19 fits into 37 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 19 away from 37, we end up with 18.
Bring next digit (8) of the dividend behind the 18 and repeat the process: 188 / 19

Let's proceed to step 3:
19 can be fit into 188 9 times, resulting in a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we take 171 away from 188, we end up with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 19

Advancing to step 4:
176 divided by 19 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 199.0
If we take 171 away from 176, we end up with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 19

Let's proceed to step 5:
The number 19 fits into 56 2 times, leaving a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 1992.0
If we take 38 away from 56, we end up with 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 19

Moving on to step 6:
19 goes into 186 9 times with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 19929.0
Deduct 171 from 186 and we're left 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 7:
If we divide 150 by 19, we get 7 and a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 19929.7
If we subtract 133 from 150, we 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.

On to step 8:
170 divided by 19 is 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 19929.78
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 9:
When dividing 180 by 19, we get 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 19929.789
Subtracting 171 from 180 leaves us 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.

Advancing to step 10:
19 goes into 90 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 19929.7894
Deduct 76 from 90 and we're left 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.

Advancing to step 11:
When dividing 140 by 19, we get 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 19929.78947
Deduct 133 from 140 and we're left 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.

Moving on to step 12:
19 goes into 70 3 times with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 19929.789473
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.

Advancing to step 13:
If we divide 130 by 19, we get 6 and a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 19929.7894736
The remainder is 16 after subtracting 114 from 130.
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 14:
If we divide 160 by 19, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 19929.78947368
If we take 152 away from 160, we end up 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.

The quotient of the division is 19929.78947368, and the remainder is 8e-09.