581984 ÷ 48 
We're looking to find how many times 48 goes into 581984.

Let's proceed to step 1:
48 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 48

Let's proceed to step 2:
48 goes into 58 1 times with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 48 from 58 leaves us with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 48

Going ahead to step 3:
If we divide 101 by 48, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 96 from 101 to get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 48

Going ahead to step 4:
When dividing 59 by 48, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
If we subtract 48 from 59, we get 11.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 48

On to step 5:
The number 48 fits into 118 2 times, leaving a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 1212.0
Subtract 96 from 118 to get 22.
Grab the next digit (4) from the dividend, add it to 22, then carry on: 224 / 48

Moving on to step 6:
224 divided by 48 is 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 12124.0
The remainder is 32 after subtracting 192 from 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
When dividing 320 by 48, we get 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 12124.6
The remainder is 32 after subtracting 288 from 320.
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 8:
The number 48 fits into 320 6 times, leaving a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 12124.66
Deduct 288 from 320 and we're left 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.

The quotient of the division is 12124.66, and the remainder is 0.032.