We're dividing 875852 by 25 
We're looking to find how many times 25 goes into 875852.

On to step 1:
If we divide 8 by 25, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 25

Advancing to step 2:
When dividing 87 by 25, we get 3 with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 75 away from 87, we end up with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 25

On to step 3:
25 goes into 125 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 35.0
If we take 125 away from 125, we end up with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 25

On to step 4:
8 divided by 25 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 350.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 25

Advancing to step 5:
The number 25 fits into 85 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3503.0
The remainder is 10 after subtracting 75 from 85.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 25

On to step 6:
When dividing 102 by 25, we get 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 35034.0
If we take 100 away from 102, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
When dividing 20 by 25, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 35034.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
25 can be fit into 200 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 35034.08
The remainder is 0 after subtracting 200 from 200.
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 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 35034.08
Subtract 0 from 0 to 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.

On to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 35034.08
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.

The quotient of the division is 35034.08, and the remainder is 0.0.