378838 ÷ 25 
Our goal is to divide 378838 by 25.

Step 1:
3 divided by 25 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 25

Advancing to step 2:
The number 25 fits into 37 1 times, leaving a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
If we take 25 away from 37, we end up with 12.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 25

On to step 3:
The number 25 fits into 128 5 times, leaving a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 125 from 128 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 25

Advancing to step 4:
The number 25 fits into 38 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 151.0
Subtract 25 from 38 to get 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 25

Advancing to step 5:
If we divide 133 by 25, we get 5 and a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 1515.0
The remainder is 8 after subtracting 125 from 133.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 25

Step 6:
88 divided by 25 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 15153.0
If we take 75 away from 88, we end up with 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 7:
If we divide 130 by 25, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 15153.5
Subtract 125 from 130 to 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.

On to step 8:
25 goes into 50 2 times with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 15153.52
The remainder is 0 after subtracting 50 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 15153.52
Deduct 0 from 0 and we're left with 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 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 15153.52
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.

Our division results in 15153.52 with a remaining 0.0.