438279 ÷ 25 
We're looking to find how many times 25 goes into 438279.

Step 1:
If we divide 4 by 25, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 25

Advancing to step 2:
The number 25 fits into 43 1 times, leaving a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 25 from 43 and we're left with 18.
Append the next digit (8) from the dividend to 18 and continue with: 188 / 25

Moving on to step 3:
25 can be fit into 188 7 times, resulting in a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtracting 175 from 188 leaves us with 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 25

On to step 4:
25 goes into 132 5 times with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 175.0
Subtract 125 from 132 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 25

On to step 5:
25 can be fit into 77 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 1753.0
Deduct 75 from 77 and we're left with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 25

On to step 6:
When dividing 29 by 25, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 17531.0
The remainder is 4 after subtracting 25 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
40 divided by 25 is 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 17531.1
Subtracting 25 from 40 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
If we divide 150 by 25, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 17531.16
Subtracting 150 from 150 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.

Let's proceed to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 17531.16
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.

Going ahead to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17531.16
If we take 0 away from 0, 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.

Our division results in 17531.16 with a remaining 0.0.