513479 ÷ 96 
Our goal is to divide 513479 by 96.

On to step 1:
When dividing 5 by 96, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 96

Going ahead to step 2:
51 divided by 96 is 0 with a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Bring next digit (3) of the dividend behind the 51 and repeat the process: 513 / 96

Step 3:
96 goes into 513 5 times with a remainder of 33.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 480 from 513, we get 33.
Grab the next digit (4) from the dividend, add it to 33, then carry on: 334 / 96

Step 4:
When dividing 334 by 96, we get 3 with a remainder of 46.
The next digit of our result is 3. 
Result so far: 53.0
Subtracting 288 from 334 leaves us with 46.
Include the next digit (7) from the dividend after 46, then repeat: 467 / 96

Let's proceed to step 5:
When dividing 467 by 96, we get 4 with a remainder of 83.
The number 4 becomes the next digit in our result. 
Result so far: 534.0
Deduct 384 from 467 and we're left with 83.
Bring next digit (9) of the dividend behind the 83 and repeat the process: 839 / 96

Step 6:
96 can be fit into 839 8 times, resulting in a remainder of 71.
Use 8 as the next digit of our solution. 
Result so far: 5348.0
If we subtract 768 from 839, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 7:
96 can be fit into 710 7 times, resulting in a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 5348.7
Deduct 672 from 710 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 8:
380 divided by 96 is 3 with a remainder of 92.
Record the quotient 3 as the next digit in the result. 
Result so far: 5348.73
Subtract 288 from 380 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.

Going ahead to step 9:
920 divided by 96 is 9 with a remainder of 56.
The number 9 becomes the next digit in our result. 
Result so far: 5348.739
Subtracting 864 from 920 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 10:
If we divide 560 by 96, we get 5 and a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 5348.7395
If we subtract 480 from 560, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 11:
The number 96 fits into 800 8 times, leaving a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 5348.73958
Subtract 768 from 800 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 12:
96 goes into 320 3 times with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 5348.739583
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.

Let's proceed to step 13:
320 divided by 96 is 3 with a remainder of 32.
The next digit of our result is 3. 
Result so far: 5348.7395833
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.

After the division, we end up with 5348.7395833 and a remainder of 3.2e-07.