16582 divided by 6 
We want to figure out the number of times 16582 can be divided by 6.

Advancing to step 1:
If we divide 1 by 6, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 6

Let's proceed to step 2:
When dividing 16 by 6, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 12 away from 16, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 6

Advancing to step 3:
If we divide 45 by 6, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 27.0
If we take 42 away from 45, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 6

Moving on to step 4:
38 divided by 6 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 276.0
Subtract 36 from 38 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

On to step 5:
6 goes into 22 3 times with a remainder of 4.
The next digit of our result is 3. 
Result so far: 2763.0
If we subtract 18 from 22, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 6:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2763.6
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
When dividing 40 by 6, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2763.66
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 2763.66, and the remainder is 0.004.