We look at the division of 359423 by 96 
We want to figure out the number of times 359423 can be divided by 96.

Step 1:
The number 96 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 96

Moving on to step 2:
96 can be fit into 35 0 times, resulting in a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 96

Going ahead to step 3:
When dividing 359 by 96, we get 3 with a remainder of 71.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 288 from 359 and we're left with 71.
Grab the next digit (4) from the dividend, add it to 71, then carry on: 714 / 96

Advancing to step 4:
If we divide 714 by 96, we get 7 and a remainder of 42.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
If we subtract 672 from 714, we get 42.
Grab the next digit (2) from the dividend, add it to 42, then carry on: 422 / 96

Going ahead to step 5:
422 divided by 96 is 4 with a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 374.0
If we take 384 away from 422, we end up with 38.
Fetch the next digit (3) from the dividend, attach it to 38 and continue: 383 / 96

Going ahead to step 6:
96 can be fit into 383 3 times, resulting in a remainder of 95.
Put 3 as the next digit of the answer. 
Result so far: 3743.0
Deduct 288 from 383 and we're left with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Step 7:
96 can be fit into 950 9 times, resulting in a remainder of 86.
Use 9 as the next digit of our solution. 
Result so far: 3743.9
If we subtract 864 from 950, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 8:
If we divide 860 by 96, we get 8 and a remainder of 92.
Record the quotient 8 as the next digit in the result. 
Result so far: 3743.98
Subtract 768 from 860 to get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

On to step 9:
If we divide 920 by 96, we get 9 and a remainder of 56.
Write down 9 as next digit of the result. 
Result so far: 3743.989
Subtract 864 from 920 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 10:
If we divide 560 by 96, we get 5 and a remainder of 80.
Record the quotient 5 as the next digit in the result. 
Result so far: 3743.9895
Subtracting 480 from 560 leaves us 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.

Advancing to step 11:
800 divided by 96 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 3743.98958
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.

Moving on to step 12:
96 goes into 320 3 times with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 3743.989583
If we take 288 away from 320, 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 13:
96 can be fit into 320 3 times, resulting in a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 3743.9895833
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.

Our division results in 3743.9895833 with a remaining 3.2e-07.