501258 ÷ 25 
We want to figure out the number of times 501258 can be divided by 25.

Let's proceed to step 1:
When dividing 5 by 25, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 25

Let's proceed to step 2:
When dividing 50 by 25, we get 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 50 from 50 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 25

Going ahead to step 3:
If we divide 1 by 25, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 25

On to step 4:
When dividing 12 by 25, we get 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 200.0
The remainder is 12 after subtracting 0 from 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 25

Going ahead to step 5:
125 divided by 25 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 2005.0
Subtracting 125 from 125 leaves us with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 25

Let's proceed to step 6:
If we divide 8 by 25, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 20050.0
If we take 0 away from 8, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
80 divided by 25 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 20050.3
If we take 75 away from 80, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
50 divided by 25 is 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 20050.32
Deduct 50 from 50 and we're left 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 9:
25 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 20050.32
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 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 20050.32
Deduct 0 from 0 and we're left 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 20050.32 with a remaining 0.0.