Let's divide 515669 by 25
We want to figure out the number of times 515669 can be divided by 25.

Going ahead to step 1:
When dividing 5 by 25, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 25

Moving on to step 2:
25 can be fit into 51 2 times, resulting in a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 50 from 51, we get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 25

Moving on to step 3:
If we divide 15 by 25, we get 0 and a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Deduct 0 from 15 and we're left with 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 25

On to step 4:
156 divided by 25 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 206.0
If we subtract 150 from 156, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 25

Moving on to step 5:
25 goes into 66 2 times with a remainder of 16.
The next digit of our result is 2. 
Result so far: 2062.0
Subtract 50 from 66 to get 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 25

Moving on to step 6:
169 divided by 25 is 6 with a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 20626.0
If we take 150 away from 169, we end up 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 7:
The number 25 fits into 190 7 times, leaving a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 20626.7
If we subtract 175 from 190, 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.

On to step 8:
If we divide 150 by 25, we get 6 and a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 20626.76
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.

Advancing to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 20626.76
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.

Step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 20626.76
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.

Our division results in 20626.76 with a remaining 0.0.