We're dividing 580214 by 96 
We're looking to find how many times 96 goes into 580214.

Let's proceed to step 1:
The number 96 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 96

Moving on to step 2:
58 divided by 96 is 0 with a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Grab the next digit (0) from the dividend, add it to 58, then carry on: 580 / 96

On to step 3:
580 divided by 96 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 576 from 580, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 96

Going ahead to step 4:
If we divide 42 by 96, we get 0 and a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
If we take 0 away from 42, we end up with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 96

Let's proceed to step 5:
If we divide 421 by 96, we get 4 and a remainder of 37.
The next digit of our result is 4. 
Result so far: 604.0
Deduct 384 from 421 and we're left with 37.
Append the next digit (4) from the dividend to 37 and continue with: 374 / 96

Step 6:
96 can be fit into 374 3 times, resulting in a remainder of 86.
The number 3 becomes the next digit in our result. 
Result so far: 6043.0
Subtract 288 from 374 to 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.

Going ahead to step 7:
96 goes into 860 8 times with a remainder of 92.
The next digit of our result is 8. 
Result so far: 6043.8
If we subtract 768 from 860, we 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.

Moving on to step 8:
When dividing 920 by 96, we get 9 with a remainder of 56.
The number 9 becomes the next digit in our result. 
Result so far: 6043.89
The remainder is 56 after subtracting 864 from 920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 9:
96 goes into 560 5 times with a remainder of 80.
Write down 5 as next digit of the result. 
Result so far: 6043.895
If we take 480 away from 560, we end up 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 10:
The number 96 fits into 800 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 6043.8958
If we subtract 768 from 800, we 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.

Moving on to step 11:
96 goes into 320 3 times with a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 6043.89583
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.

Step 12:
When dividing 320 by 96, we get 3 with a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 6043.895833
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.

The quotient of the division is 6043.895833, and the remainder is 3.2e-06.