378976 divided by 19 
Let's see how many times 19 fits into 378976.

Going ahead to step 1:
When dividing 3 by 19, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 19

On to step 2:
19 goes into 37 1 times with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 19 from 37, we get 18.
Take the next digit (8) from the dividend and append it to 18, then repeat: 188 / 19

Moving on to step 3:
19 goes into 188 9 times with a remainder of 17.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 17 after subtracting 171 from 188.
Include the next digit (9) from the dividend after 17, then repeat: 179 / 19

On to step 4:
When dividing 179 by 19, we get 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 199.0
Deduct 171 from 179 and we're left with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 19

On to step 5:
87 divided by 19 is 4 with a remainder of 11.
The next digit of our result is 4. 
Result so far: 1994.0
Subtracting 76 from 87 leaves us with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 19

Moving on to step 6:
The number 19 fits into 116 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 19946.0
Subtract 114 from 116 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
19 goes into 20 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 19946.1
If we subtract 19 from 20, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
19 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 19946.1
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
100 divided by 19 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 19946.105
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 19946.1052
Subtracting 38 from 50 leaves us 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.

Step 11:
If we divide 120 by 19, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 19946.10526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
When dividing 60 by 19, we get 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 19946.105263
If we take 57 away from 60, we end up 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.

On to step 13:
When dividing 30 by 19, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 19946.1052631
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.

Step 14:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 19946.10526315
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 19946.10526315, and the remainder is 1.5e-08.