We're dividing 589983 by 45 
We're looking to find how many times 45 goes into 589983.

Let's proceed to step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 45

On to step 2:
If we divide 58 by 45, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 45 from 58 leaves us with 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 45

Let's proceed to step 3:
When dividing 139 by 45, we get 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 135 from 139 leaves us with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 45

Advancing to step 4:
45 can be fit into 49 1 times, resulting in a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 131.0
If we take 45 away from 49, we end up with 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 45

Step 5:
48 divided by 45 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1311.0
If we take 45 away from 48, we end up with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 45

On to step 6:
The number 45 fits into 33 0 times, leaving a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 13110.0
If we subtract 0 from 33, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
When dividing 330 by 45, we get 7 with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 13110.7
If we subtract 315 from 330, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
If we divide 150 by 45, we get 3 and a remainder of 15.
The next digit of our result is 3. 
Result so far: 13110.73
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 13110.733
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 13110.733 with a remainder of 0.0015.