We look at the division of 589876 by 10 
Let's see how many times 10 fits into 589876.

Advancing to step 1:
10 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 10

Advancing to step 2:
If we divide 58 by 10, we get 5 and a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 50 away from 58, we end up with 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 10

On to step 3:
10 goes into 89 8 times with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 58.0
If we take 80 away from 89, we end up with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 10

Step 4:
10 goes into 98 9 times with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 589.0
Subtract 90 from 98 to get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 10

Advancing to step 5:
87 divided by 10 is 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 5898.0
Subtracting 80 from 87 leaves us with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 10

Advancing to step 6:
When dividing 76 by 10, we get 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 58987.0
The remainder is 6 after subtracting 70 from 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
10 goes into 60 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 58987.6
The remainder is 0 after subtracting 60 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
If we divide 0 by 10, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 58987.6
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.

Going ahead to step 9:
The number 10 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 58987.6
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.

After the division, we end up with 58987.6 and a remainder of 0.0.