Let's divide 585345 by 96
We're looking to find how many times 96 goes into 585345.

Advancing to step 1:
96 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 96

Advancing to step 2:
The number 96 fits into 58 0 times, leaving a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Bring next digit (5) of the dividend behind the 58 and repeat the process: 585 / 96

Step 3:
If we divide 585 by 96, we get 6 and a remainder of 9.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 576 away from 585, we end up with 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 96

Step 4:
When dividing 93 by 96, we get 0 with a remainder of 93.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
Subtract 0 from 93 to get 93.
Take the next digit (4) from the dividend and append it to 93, then repeat: 934 / 96

Moving on to step 5:
96 goes into 934 9 times with a remainder of 70.
The number 9 becomes the next digit in our result. 
Result so far: 609.0
Deduct 864 from 934 and we're left with 70.
Append the next digit (5) from the dividend to 70 and continue with: 705 / 96

Advancing to step 6:
If we divide 705 by 96, we get 7 and a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 6097.0
If we take 672 away from 705, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
96 can be fit into 330 3 times, resulting in a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 6097.3
Deduct 288 from 330 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 8:
The number 96 fits into 420 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 6097.34
If we take 384 away from 420, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
96 goes into 360 3 times with a remainder of 72.
Use 3 as the next digit of our solution. 
Result so far: 6097.343
Deduct 288 from 360 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 10:
96 can be fit into 720 7 times, resulting in a remainder of 48.
The next digit of our result is 7. 
Result so far: 6097.3437
Subtract 672 from 720 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 11:
96 can be fit into 480 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 6097.34375
Subtracting 480 from 480 leaves us 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.

Let's proceed to step 12:
If we divide 0 by 96, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6097.34375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 13:
96 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6097.34375
The remainder is 0 after subtracting 0 from 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 quotient of the division is 6097.34375, and the remainder is 0.0.