Let's divide 625684 by 10
We want to divide 625684 by 10.

Advancing to step 1:
6 divided by 10 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 10

Going ahead to step 2:
62 divided by 10 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 2 after subtracting 60 from 62.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 10

Let's proceed to step 3:
25 divided by 10 is 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 62.0
Subtract 20 from 25 to get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 10

Moving on to step 4:
10 can be fit into 56 5 times, resulting in a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 625.0
If we subtract 50 from 56, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 10

Let's proceed to step 5:
If we divide 68 by 10, we get 6 and a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 6256.0
If we subtract 60 from 68, we get 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 10

Moving on to step 6:
If we divide 84 by 10, we get 8 and a remainder of 4.
The next digit of our result is 8. 
Result so far: 62568.0
If we subtract 80 from 84, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 10, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 62568.4
The remainder is 0 after subtracting 40 from 40.
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 8:
If we divide 0 by 10, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 62568.4
The remainder is 0 after subtracting 0 from 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:
10 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 62568.4
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.

Our division results in 62568.4 with a remaining 0.0.