We're dividing 635350 by 96 
We're looking to find how many times 96 goes into 635350.

Step 1:
The number 96 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 96

On to step 2:
96 goes into 63 0 times with a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Fetch the next digit (5) from the dividend, attach it to 63 and continue: 635 / 96

Moving on to step 3:
635 divided by 96 is 6 with a remainder of 59.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 576 from 635 to get 59.
Fetch the next digit (3) from the dividend, attach it to 59 and continue: 593 / 96

Advancing to step 4:
96 can be fit into 593 6 times, resulting in a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we subtract 576 from 593, we get 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 96

Let's proceed to step 5:
96 can be fit into 175 1 times, resulting in a remainder of 79.
Put 1 as the next digit of the answer. 
Result so far: 661.0
The remainder is 79 after subtracting 96 from 175.
Append the next digit (0) from the dividend to 79 and continue with: 790 / 96

On to step 6:
When dividing 790 by 96, we get 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 6618.0
Subtract 768 from 790 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
96 goes into 220 2 times with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 6618.2
Subtracting 192 from 220 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
96 goes into 280 2 times with a remainder of 88.
Put 2 as the next digit of the answer. 
Result so far: 6618.22
Subtract 192 from 280 to get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

The final outcome is 6618.22, with a leftover of 0.088.