434556 ÷ 96 
We want to figure out the number of times 434556 can be divided by 96.

On to step 1:
The number 96 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 96

On to step 2:
The number 96 fits into 43 0 times, leaving a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 96

Advancing to step 3:
If we divide 434 by 96, we get 4 and a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 384 away from 434, we end up with 50.
Fetch the next digit (5) from the dividend, attach it to 50 and continue: 505 / 96

Advancing to step 4:
The number 96 fits into 505 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtract 480 from 505 to get 25.
Fetch the next digit (5) from the dividend, attach it to 25 and continue: 255 / 96

Let's proceed to step 5:
The number 96 fits into 255 2 times, leaving a remainder of 63.
Write down 2 as next digit of the result. 
Result so far: 452.0
Subtracting 192 from 255 leaves us with 63.
Fetch the next digit (6) from the dividend, attach it to 63 and continue: 636 / 96

On to step 6:
96 goes into 636 6 times with a remainder of 60.
The next digit of our result is 6. 
Result so far: 4526.0
If we take 576 away from 636, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 7:
When dividing 600 by 96, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 4526.6
The remainder is 24 after subtracting 576 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
96 can be fit into 240 2 times, resulting in a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 4526.62
Deduct 192 from 240 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 9:
96 can be fit into 480 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 4526.625
If we subtract 480 from 480, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
The number 96 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 4526.625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
When dividing 0 by 96, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4526.625
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.

The final result is 4526.625 with a remainder of 0.0.