We're dividing 378696 by 25 
We want to figure out the number of times 378696 can be divided by 25.

On to 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 take 0 away from 3, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 25

On to step 2:
If we divide 37 by 25, we get 1 and a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 12 after subtracting 25 from 37.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 25

Moving on to step 3:
When dividing 128 by 25, we get 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 125 from 128 leaves us with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 25

On to step 4:
36 divided by 25 is 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 151.0
Deduct 25 from 36 and we're left with 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 25

Let's proceed to step 5:
When dividing 119 by 25, we get 4 with a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 1514.0
If we subtract 100 from 119, we get 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 25

On to step 6:
25 goes into 196 7 times with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 15147.0
Deduct 175 from 196 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
25 goes into 210 8 times with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 15147.8
If we take 200 away from 210, we end up 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.

On to step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 15147.84
If we take 100 away from 100, we end up 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.

Moving on to step 9:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 15147.84
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 15147.84
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.

The quotient of the division is 15147.84, and the remainder is 0.0.