We look at the division of 506336 by 96 
We want to figure out the number of times 506336 can be divided by 96.

Going ahead to step 1:
96 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 96

On to step 2:
50 divided by 96 is 0 with 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.
Fetch the next digit (6) from the dividend, attach it to 50 and continue: 506 / 96

Moving on to step 3:
If we divide 506 by 96, we get 5 and a remainder of 26.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 480 away from 506, we end up with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 96

On to step 4:
96 can be fit into 263 2 times, resulting in a remainder of 71.
Put 2 as the next digit of the answer. 
Result so far: 52.0
Subtracting 192 from 263 leaves us with 71.
Append the next digit (3) from the dividend to 71 and continue with: 713 / 96

Moving on to step 5:
The number 96 fits into 713 7 times, leaving a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 527.0
Subtracting 672 from 713 leaves us with 41.
Grab the next digit (6) from the dividend, add it to 41, then carry on: 416 / 96

On to step 6:
416 divided by 96 is 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 5274.0
If we take 384 away from 416, we end up 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.

Advancing to step 7:
If we divide 320 by 96, we get 3 and a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 5274.3
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 8:
96 goes into 320 3 times with a remainder of 32.
The next digit of our result is 3. 
Result so far: 5274.33
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.

The final outcome is 5274.33, with a leftover of 0.032.