We divide 585794 by 25
We want to divide 585794 by 25.

Let's proceed to step 1:
If we divide 5 by 25, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 25

On to step 2:
25 goes into 58 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 8 after subtracting 50 from 58.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 25

Advancing to step 3:
If we divide 85 by 25, we get 3 and a remainder of 10.
The next digit of our result is 3. 
Result so far: 23.0
Subtract 75 from 85 to get 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 25

Advancing to step 4:
When dividing 107 by 25, we get 4 with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 234.0
If we subtract 100 from 107, we get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 25

On to step 5:
When dividing 79 by 25, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 2343.0
Subtract 75 from 79 to get 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 25

On to step 6:
25 goes into 44 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 23431.0
Subtracting 25 from 44 leaves us 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:
When dividing 190 by 25, we get 7 with a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 23431.7
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.

Let's proceed to step 8:
150 divided by 25 is 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 23431.76
The remainder is 0 after subtracting 150 from 150.
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.
The number 0 becomes the next digit in our result. 
Result so far: 23431.76
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.

Going ahead to step 10:
0 divided by 25 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 23431.76
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.

The quotient of the division is 23431.76, and the remainder is 0.0.