We divide 585766 by 96
We're looking to find how many times 96 goes into 585766.

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
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 96

On to step 2:
96 can be fit into 58 0 times, resulting in a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Fetch the next digit (5) from the dividend, attach it to 58 and continue: 585 / 96

On to step 3:
96 goes into 585 6 times with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 576 from 585 and we're left with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 96

On to step 4:
When dividing 97 by 96, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 61.0
If we subtract 96 from 97, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 96

Step 5:
96 goes into 16 0 times with a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 610.0
Deduct 0 from 16 and we're left with 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 96

Moving on to step 6:
166 divided by 96 is 1 with a remainder of 70.
Record the quotient 1 as the next digit in the result. 
Result so far: 6101.0
Deduct 96 from 166 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 7:
The number 96 fits into 700 7 times, leaving a remainder of 28.
The number 7 becomes the next digit in our result. 
Result so far: 6101.7
Deduct 672 from 700 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
96 can be fit into 280 2 times, resulting in a remainder of 88.
Record the quotient 2 as the next digit in the result. 
Result so far: 6101.72
If we subtract 192 from 280, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 9:
96 can be fit into 880 9 times, resulting in a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 6101.729
If we take 864 away from 880, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
If we divide 160 by 96, we get 1 and a remainder of 64.
Use 1 as the next digit of our solution. 
Result so far: 6101.7291
If we subtract 96 from 160, we 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.

Let's proceed to step 11:
640 divided by 96 is 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 6101.72916
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.

Going ahead to step 12:
The number 96 fits into 640 6 times, leaving a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 6101.729166
If we take 576 away from 640, we end up 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.

Our division results in 6101.729166 with a remaining 6.4e-06.