19869 ÷ 25 
We're looking to find how many times 25 goes into 19869.

On to step 1:
If we divide 1 by 25, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 25

Going ahead to step 2:
When dividing 19 by 25, we get 0 with a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 19 leaves us with 19.
Append the next digit (8) from the dividend to 19 and continue with: 198 / 25

Moving on to step 3:
25 goes into 198 7 times with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 175 from 198 leaves us with 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 25

Going ahead to step 4:
The number 25 fits into 236 9 times, leaving a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
If we take 225 away from 236, we end up with 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 25

Advancing to step 5:
25 goes into 119 4 times with a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 794.0
Deduct 100 from 119 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 6:
If we divide 190 by 25, we get 7 and a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 794.7
If we take 175 away from 190, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
150 divided by 25 is 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 794.76
If we subtract 150 from 150, 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 8:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 794.76
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.

Step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 794.76
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.

Our division results in 794.76 with a remaining 0.0.