Let's divide 100589 by 8
We want to divide 100589 by 8.

Advancing to step 1:
The number 8 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 8

On to step 2:
The number 8 fits into 10 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 8 from 10 and we're left with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 8

On to step 3:
If we divide 20 by 8, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 16 away from 20, we end up with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 8

Advancing to step 4:
45 divided by 8 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 125.0
If we subtract 40 from 45, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 8

Going ahead to step 5:
8 can be fit into 58 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 1257.0
Subtracting 56 from 58 leaves us with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 8

Going ahead to step 6:
8 can be fit into 29 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 12573.0
If we take 24 away from 29, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 8 fits into 50 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 12573.6
If we subtract 48 from 50, 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.

Moving on to step 8:
When dividing 20 by 8, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12573.62
If we take 16 away from 20, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
8 goes into 40 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 12573.625
If we subtract 40 from 40, 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.

Moving on to step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 12573.625
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.

Advancing to step 11:
8 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 12573.625
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.

In conclusion, the division gives 12573.625 with a balance of 0.0.