We look at the division of 509438 by 96 
We want to divide 509438 by 96.

Let's proceed to step 1:
When dividing 5 by 96, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 96

Moving on to step 2:
If we divide 50 by 96, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Bring next digit (9) of the dividend behind the 50 and repeat the process: 509 / 96

Moving on to step 3:
96 can be fit into 509 5 times, resulting in a remainder of 29.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 29 after subtracting 480 from 509.
Fetch the next digit (4) from the dividend, attach it to 29 and continue: 294 / 96

Step 4:
The number 96 fits into 294 3 times, leaving a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
If we take 288 away from 294, we end up with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 96

On to step 5:
The number 96 fits into 63 0 times, leaving a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 530.0
Deduct 0 from 63 and we're left with 63.
Bring next digit (8) of the dividend behind the 63 and repeat the process: 638 / 96

Moving on to step 6:
96 can be fit into 638 6 times, resulting in a remainder of 62.
The number 6 becomes the next digit in our result. 
Result so far: 5306.0
If we subtract 576 from 638, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 7:
When dividing 620 by 96, we get 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 5306.6
Deduct 576 from 620 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 8:
440 divided by 96 is 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 5306.64
Subtracting 384 from 440 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 9:
When dividing 560 by 96, we get 5 with a remainder of 80.
Record the quotient 5 as the next digit in the result. 
Result so far: 5306.645
If we take 480 away from 560, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 10:
96 can be fit into 800 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 5306.6458
Subtracting 768 from 800 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
320 divided by 96 is 3 with a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 5306.64583
Subtract 288 from 320 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 12:
The number 96 fits into 320 3 times, leaving a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 5306.645833
Subtracting 288 from 320 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 5306.645833 with a balance of 3.2e-06.