838261 ÷ 25 
We want to figure out the number of times 838261 can be divided by 25.

On to step 1:
When dividing 8 by 25, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 25

Moving on to step 2:
25 can be fit into 83 3 times, resulting in a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 8 after subtracting 75 from 83.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 25

Let's proceed to step 3:
The number 25 fits into 88 3 times, leaving a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
The remainder is 13 after subtracting 75 from 88.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 25

On to step 4:
If we divide 132 by 25, we get 5 and a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 335.0
Subtracting 125 from 132 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 25

Step 5:
The number 25 fits into 76 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3353.0
Subtracting 75 from 76 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 25

On to step 6:
11 divided by 25 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 33530.0
Subtracting 0 from 11 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
110 divided by 25 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 33530.4
Subtract 100 from 110 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

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: 33530.44
If we subtract 100 from 100, 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 33530.44 with a remaining 0.0.