Let's divide 51269 by 25
Our goal is to divide 51269 by 25.

Advancing to step 1:
5 divided by 25 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 25

Moving on to step 2:
If we divide 51 by 25, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 50 from 51, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 25

Moving on to step 3:
The number 25 fits into 12 0 times, leaving a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
The remainder is 12 after subtracting 0 from 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 25

Advancing to step 4:
126 divided by 25 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 205.0
If we subtract 125 from 126, we get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 25

Advancing to step 5:
19 divided by 25 is 0 with a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 2050.0
Subtract 0 from 19 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 6:
25 goes into 190 7 times with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 2050.7
Subtracting 175 from 190 leaves us 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.

Advancing to step 7:
25 goes into 150 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 2050.76
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.

Step 8:
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: 2050.76
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.

Step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2050.76
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 2050.76 with a balance of 0.0.