We look at the division of 877954 by 25 
Our goal is to divide 877954 by 25.

Let's proceed to step 1:
If we divide 8 by 25, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 25

Let's proceed to step 2:
When dividing 87 by 25, we get 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 75 from 87 and we're left with 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 25

On to step 3:
25 can be fit into 127 5 times, resulting in a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtracting 125 from 127 leaves us with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 25

Moving on to step 4:
When dividing 29 by 25, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 351.0
If we take 25 away from 29, we end up with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 25

Let's proceed to step 5:
If we divide 45 by 25, we get 1 and a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 3511.0
If we take 25 away from 45, we end up with 20.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 25

Going ahead to step 6:
25 can be fit into 204 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 35118.0
Subtracting 200 from 204 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
If we divide 40 by 25, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 35118.1
If we subtract 25 from 40, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 35118.16
If we take 150 away from 150, 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.

Going ahead to step 9:
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: 35118.16
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.

Advancing to step 10:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 35118.16
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.

The final outcome is 35118.16, with a leftover of 0.0.