Let's divide 581976 by 5
We're looking to find how many times 5 goes into 581976.

Moving on to step 1:
The number 5 fits into 5 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 0 after subtracting 5 from 5.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 5

Let's proceed to step 2:
5 can be fit into 8 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 5 away from 8, we end up with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 5

Moving on to step 3:
5 goes into 31 6 times with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 116.0
Deduct 30 from 31 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 5

Moving on to step 4:
When dividing 19 by 5, we get 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 1163.0
Subtract 15 from 19 to get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 5

On to step 5:
When dividing 47 by 5, we get 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 11639.0
Deduct 45 from 47 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 5

On to step 6:
5 can be fit into 26 5 times, resulting in a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 116395.0
Subtract 25 from 26 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 5 is 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 116395.2
If we subtract 10 from 10, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
5 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 116395.2
Subtracting 0 from 0 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.

Step 9:
The number 5 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 116395.2
Deduct 0 from 0 and we're left 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.

The quotient of the division is 116395.2, and the remainder is 0.0.