582674 ÷ 12 
We're looking to find how many times 12 goes into 582674.

Moving on to step 1:
12 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 12

Advancing to step 2:
12 goes into 58 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 48 from 58 leaves us with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 12

On to step 3:
If we divide 102 by 12, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 48.0
Subtracting 96 from 102 leaves us with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 12

Advancing to step 4:
The number 12 fits into 66 5 times, leaving a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 485.0
Deduct 60 from 66 and we're left with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 12

Advancing to step 5:
12 can be fit into 67 5 times, resulting in a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 4855.0
The remainder is 7 after subtracting 60 from 67.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 12

Let's proceed to step 6:
12 goes into 74 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 48556.0
If we subtract 72 from 74, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
When dividing 20 by 12, we get 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 48556.1
Deduct 12 from 20 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
12 goes into 80 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 48556.16
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
12 goes into 80 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 48556.166
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 48556.166, with a leftover of 0.0008.