585820 ÷ 48 
We want to divide 585820 by 48.

Advancing to step 1:
If we divide 5 by 48, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 48

Step 2:
48 goes into 58 1 times with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 10 after subtracting 48 from 58.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 48

Advancing to step 3:
When dividing 105 by 48, we get 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 96 from 105 and we're left with 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 48

Going ahead to step 4:
48 can be fit into 98 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 122.0
Subtract 96 from 98 to get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 48

On to step 5:
48 goes into 22 0 times with a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 1220.0
Subtracting 0 from 22 leaves us with 22.
Take the next digit (0) from the dividend and append it to 22, then repeat: 220 / 48

Step 6:
48 goes into 220 4 times with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 12204.0
Deduct 192 from 220 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 7:
280 divided by 48 is 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 12204.5
If we take 240 away from 280, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
The number 48 fits into 400 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 12204.58
The remainder is 16 after subtracting 384 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
When dividing 160 by 48, we get 3 with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 12204.583
If we subtract 144 from 160, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
160 divided by 48 is 3 with a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 12204.5833
Subtracting 144 from 160 leaves us 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.

In conclusion, the division gives 12204.5833 with a balance of 0.00016.