We're dividing 378671 by 18 
We want to divide 378671 by 18.

Let's proceed to step 1:
The number 18 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 18

Let's proceed to step 2:
37 divided by 18 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 36 from 37 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 18

On to step 3:
If we divide 18 by 18, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Deduct 18 from 18 and we're left with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 18

On to step 4:
If we divide 6 by 18, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 210.0
If we take 0 away from 6, we end up with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 18

Moving on to step 5:
67 divided by 18 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 2103.0
Deduct 54 from 67 and we're left with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 18

Advancing to step 6:
If we divide 131 by 18, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 21037.0
Deduct 126 from 131 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
50 divided by 18 is 2 with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 21037.2
Subtract 36 from 50 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.

Step 8:
18 goes into 140 7 times with a remainder of 14.
The next digit of our result is 7. 
Result so far: 21037.27
If we subtract 126 from 140, 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.

Going ahead to step 9:
18 can be fit into 140 7 times, resulting in a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 21037.277
If we subtract 126 from 140, 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.

After the division, we end up with 21037.277 and a remainder of 0.0014.