We're dividing 682670 by 25 
Our goal is to divide 682670 by 25.

Step 1:
The number 25 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 25

Advancing to step 2:
When dividing 68 by 25, we get 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 50 away from 68, we end up with 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 25

Let's proceed to step 3:
25 goes into 182 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
If we take 175 away from 182, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 25

Let's proceed to step 4:
25 goes into 76 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 273.0
If we subtract 75 from 76, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 25

Moving on to step 5:
When dividing 17 by 25, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 2730.0
Deduct 0 from 17 and we're left with 17.
Fetch the next digit (0) from the dividend, attach it to 17 and continue: 170 / 25

Let's proceed to step 6:
25 can be fit into 170 6 times, resulting in a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 27306.0
Subtract 150 from 170 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
25 goes into 200 8 times with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 27306.8
The remainder is 0 after subtracting 200 from 200.
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 8:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 27306.8
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.

On to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 27306.8
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.

The final outcome is 27306.8, with a leftover of 0.0.