We're dividing 588397 by 2 
We want to figure out the number of times 588397 can be divided by 2.

On to step 1:
2 can be fit into 5 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 4 away from 5, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 2

Moving on to step 2:
2 goes into 18 9 times with a remainder of 0.
The next digit of our result is 9. 
Result so far: 29.0
Subtract 18 from 18 to get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 2

Advancing to step 3:
2 can be fit into 8 4 times, resulting in a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 294.0
Subtract 8 from 8 to get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 2

Step 4:
The number 2 fits into 3 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 2941.0
Subtract 2 from 3 to get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 2

Let's proceed to step 5:
The number 2 fits into 19 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 29419.0
Subtract 18 from 19 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 2

On to step 6:
If we divide 17 by 2, we get 8 and a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 294198.0
If we subtract 16 from 17, 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.
Write down 5 as next digit of the result. 
Result so far: 294198.5
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.

Going ahead to step 8:
The number 2 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 294198.5
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.

Going ahead to step 9:
0 divided by 2 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 294198.5
If we take 0 away from 0, 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.

The final outcome is 294198.5, with a leftover of 0.0.