586573 ÷ 25 
We want to figure out the number of times 586573 can be divided by 25.

Let's proceed to step 1:
25 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 25

Advancing to step 2:
25 can be fit into 58 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 50 from 58 leaves us with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 25

Going ahead to step 3:
25 goes into 86 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
If we subtract 75 from 86, we get 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 25

On to step 4:
If we divide 115 by 25, we get 4 and a remainder of 15.
The next digit of our result is 4. 
Result so far: 234.0
If we take 100 away from 115, we end up with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 25

Let's proceed to step 5:
When dividing 157 by 25, we get 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 2346.0
Deduct 150 from 157 and we're left with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 25

Going ahead to step 6:
When dividing 73 by 25, we get 2 with a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 23462.0
Subtracting 50 from 73 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
The number 25 fits into 230 9 times, leaving a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 23462.9
Deduct 225 from 230 and we're left 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.

Going ahead 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: 23462.92
If we take 50 away from 50, 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.

Let's proceed to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 23462.92
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.

Step 10:
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: 23462.92
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 23462.92 with a remaining 0.0.