We look at the division of 8378 by 2 
We want to divide 8378 by 2.

On to step 1:
The number 2 fits into 8 4 times, leaving a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 8 from 8 leaves us with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 2

Let's proceed to step 2:
2 goes into 3 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
If we take 2 away from 3, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 2

Advancing to step 3:
If we divide 17 by 2, we get 8 and a remainder of 1.
The next digit of our result is 8. 
Result so far: 418.0
If we subtract 16 from 17, we get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 2

Advancing to step 4:
2 goes into 18 9 times with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 4189.0
If we subtract 18 from 18, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 5:
0 divided by 2 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4189.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 6:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4189.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 4189.0 and a remainder of 0.0.