278737 ÷ 25 
We want to figure out the number of times 278737 can be divided by 25.

Step 1:
If we divide 2 by 25, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 25

Going ahead to step 2:
If we divide 27 by 25, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 25 from 27 to get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 25

Step 3:
The number 25 fits into 28 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 25 from 28, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 25

Advancing to step 4:
When dividing 37 by 25, we get 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 111.0
Subtract 25 from 37 to get 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 25

Going ahead to step 5:
25 can be fit into 123 4 times, resulting in a remainder of 23.
The number 4 becomes the next digit in our result. 
Result so far: 1114.0
If we take 100 away from 123, we end up with 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 25

Let's proceed to step 6:
25 goes into 237 9 times with a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 11149.0
If we take 225 away from 237, we end up 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 7:
The number 25 fits into 120 4 times, leaving a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 11149.4
If we take 100 away from 120, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
200 divided by 25 is 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 11149.48
Deduct 200 from 200 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.

Advancing to step 9:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 11149.48
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.

On to step 10:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 11149.48
Subtracting 0 from 0 leaves us 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.

The quotient of the division is 11149.48, and the remainder is 0.0.