Let's divide 625909 by 2
We're looking to find how many times 2 goes into 625909.

Moving on to step 1:
6 divided by 2 is 3 with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 6 from 6 to get 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 2

Step 2:
The number 2 fits into 2 1 times, leaving a remainder of 0.
The next digit of our result is 1. 
Result so far: 31.0
If we subtract 2 from 2, we get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Advancing to step 3:
When dividing 5 by 2, we get 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 312.0
If we subtract 4 from 5, we get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 2

Going ahead to step 4:
19 divided by 2 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 3129.0
If we subtract 18 from 19, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 2

Advancing to step 5:
2 can be fit into 10 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 31295.0
Deduct 10 from 10 and we're left with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 2

Going ahead to step 6:
2 goes into 9 4 times with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 312954.0
If we take 8 away from 9, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
The number 2 fits into 10 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 312954.5
Subtracting 10 from 10 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.

Advancing to step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 312954.5
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.

Step 9:
If we divide 0 by 2, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 312954.5
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.

The quotient of the division is 312954.5, and the remainder is 0.0.