We look at the division of 969871 by 25 
We want to divide 969871 by 25.

Step 1:
When dividing 9 by 25, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 25

Moving on to step 2:
25 can be fit into 96 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 75 from 96 to get 21.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 25

On to step 3:
The number 25 fits into 219 8 times, leaving a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 38.0
Deduct 200 from 219 and we're left with 19.
Append the next digit (8) from the dividend to 19 and continue with: 198 / 25

Advancing to step 4:
The number 25 fits into 198 7 times, leaving a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 387.0
Subtracting 175 from 198 leaves us with 23.
Include the next digit (7) from the dividend after 23, then repeat: 237 / 25

Let's proceed to step 5:
25 goes into 237 9 times with a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 3879.0
If we take 225 away from 237, we end up with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 25

On to step 6:
The number 25 fits into 121 4 times, leaving a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 38794.0
The remainder is 21 after subtracting 100 from 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
If we divide 210 by 25, we get 8 and a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 38794.8
The remainder is 10 after subtracting 200 from 210.
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:
When dividing 100 by 25, we get 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 38794.84
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.

Going ahead to step 9:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 38794.84
If we take 0 away from 0, 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 10:
0 divided by 25 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 38794.84
Subtracting 0 from 0 leaves us 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 final result is 38794.84 with a remainder of 0.0.