We're dividing 873516 by 25 
We're looking to find how many times 25 goes into 873516.

Going ahead to step 1:
25 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 25

Going ahead to step 2:
If we divide 87 by 25, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 75 from 87 leaves us with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 25

On to step 3:
If we divide 123 by 25, we get 4 and a remainder of 23.
Use 4 as the next digit of our solution. 
Result so far: 34.0
If we take 100 away from 123, we end up with 23.
Grab the next digit (5) from the dividend, add it to 23, then carry on: 235 / 25

On to step 4:
When dividing 235 by 25, we get 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 349.0
If we subtract 225 from 235, we get 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 25

Let's proceed to step 5:
When dividing 101 by 25, we get 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 3494.0
Subtract 100 from 101 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 25

Step 6:
25 can be fit into 16 0 times, resulting in a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 34940.0
Subtracting 0 from 16 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
160 divided by 25 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 34940.6
Subtract 150 from 160 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.

Going ahead to step 8:
When dividing 100 by 25, we get 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 34940.64
The remainder is 0 after subtracting 100 from 100.
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 9:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 34940.64
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.

On to step 10:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 34940.64
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.

After the division, we end up with 34940.64 and a remainder of 0.0.