We're dividing 624591 by 2 
Our goal is to divide 624591 by 2.

Moving on to step 1:
If we divide 6 by 2, we get 3 and a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 6 from 6 to get 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 2

Advancing to step 2:
2 goes into 2 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 31.0
If we subtract 2 from 2, we get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 2

Going ahead to step 3:
If we divide 4 by 2, we get 2 and a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 312.0
Deduct 4 from 4 and we're left with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 2

Let's proceed to step 4:
When dividing 5 by 2, we get 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 3122.0
Subtracting 4 from 5 leaves us with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 2

On to step 5:
2 goes into 19 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 31229.0
Subtracting 18 from 19 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 2

On to step 6:
If we divide 11 by 2, we get 5 and a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 312295.0
If we subtract 10 from 11, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
2 goes into 10 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 312295.5
If we take 10 away from 10, 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.

Advancing to step 8:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 312295.5
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:
When dividing 0 by 2, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 312295.5
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.

In conclusion, the division gives 312295.5 with a balance of 0.0.