436825 ÷ 96 
Our goal is to divide 436825 by 96.

Let's proceed to step 1:
96 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 96

Going ahead to step 2:
96 goes into 43 0 times with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Bring next digit (6) of the dividend behind the 43 and repeat the process: 436 / 96

On to step 3:
436 divided by 96 is 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 384 from 436 to get 52.
Include the next digit (8) from the dividend after 52, then repeat: 528 / 96

Advancing to step 4:
If we divide 528 by 96, we get 5 and a remainder of 48.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
If we subtract 480 from 528, we get 48.
Include the next digit (2) from the dividend after 48, then repeat: 482 / 96

On to step 5:
482 divided by 96 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 455.0
If we take 480 away from 482, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 96

Step 6:
96 can be fit into 25 0 times, resulting in a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 4550.0
If we subtract 0 from 25, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
If we divide 250 by 96, we get 2 and a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 4550.2
If we subtract 192 from 250, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 8:
96 can be fit into 580 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 4550.26
If we take 576 away from 580, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
If we divide 40 by 96, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 4550.26
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 10:
96 can be fit into 400 4 times, resulting in a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 4550.2604
The remainder is 16 after subtracting 384 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
The number 96 fits into 160 1 times, leaving a remainder of 64.
The number 1 becomes the next digit in our result. 
Result so far: 4550.26041
Subtract 96 from 160 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 12:
640 divided by 96 is 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 4550.260416
Subtracting 576 from 640 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 13:
If we divide 640 by 96, we get 6 and a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 4550.2604166
Deduct 576 from 640 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final outcome is 4550.2604166, with a leftover of 6.4e-07.