We're dividing 312911 by 25 
We want to figure out the number of times 312911 can be divided by 25.

Let's proceed to step 1:
25 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 25

Let's proceed to step 2:
If we divide 31 by 25, we get 1 and a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 6 after subtracting 25 from 31.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 25

Going ahead to step 3:
If we divide 62 by 25, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 50 from 62 to get 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 25

Step 4:
25 goes into 129 5 times with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Subtract 125 from 129 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 25

Advancing to step 5:
25 goes into 41 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1251.0
If we take 25 away from 41, we end up with 16.
Include the next digit (1) from the dividend after 16, then repeat: 161 / 25

Going ahead to step 6:
25 goes into 161 6 times with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 12516.0
Subtracting 150 from 161 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.

On to step 7:
The number 25 fits into 110 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 12516.4
The remainder is 10 after subtracting 100 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
100 divided by 25 is 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 12516.44
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.

The quotient of the division is 12516.44, and the remainder is 0.0.