Let's divide 589841 by 5
We're looking to find how many times 5 goes into 589841.

On to step 1:
5 can be fit into 5 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 5 from 5 to get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 5

Going ahead to step 2:
When dividing 8 by 5, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 5 from 8 to get 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 5

Moving on to step 3:
The number 5 fits into 39 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 117.0
The remainder is 4 after subtracting 35 from 39.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 5

Step 4:
5 can be fit into 48 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 1179.0
If we take 45 away from 48, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 5

Let's proceed to step 5:
5 goes into 34 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 11796.0
Subtract 30 from 34 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 5

On to step 6:
If we divide 41 by 5, we get 8 and a remainder of 1.
The next digit of our result is 8. 
Result so far: 117968.0
If we take 40 away from 41, we end up with 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.
Write down 2 as next digit of the result. 
Result so far: 117968.2
Deduct 10 from 10 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.

Moving on to step 8:
If we divide 0 by 5, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 117968.2
Subtract 0 from 0 to 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.

Moving on to step 9:
The number 5 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 117968.2
If we take 0 away from 0, we end up 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.

Our division results in 117968.2 with a remaining 0.0.