We look at the division of 288979 by 45 
We're looking to find how many times 45 goes into 288979.

Going ahead to step 1:
2 divided by 45 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 45

Advancing to step 2:
The number 45 fits into 28 0 times, leaving a remainder of 28.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 28 to get 28.
Take the next digit (8) from the dividend and append it to 28, then repeat: 288 / 45

On to step 3:
When dividing 288 by 45, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 270 from 288 to get 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 45

Let's proceed to step 4:
If we divide 189 by 45, we get 4 and a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
If we take 180 away from 189, we end up with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 45

Let's proceed to step 5:
45 goes into 97 2 times with a remainder of 7.
The next digit of our result is 2. 
Result so far: 642.0
The remainder is 7 after subtracting 90 from 97.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 45

Going ahead to step 6:
When dividing 79 by 45, we get 1 with a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 6421.0
If we subtract 45 from 79, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
340 divided by 45 is 7 with a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 6421.7
The remainder is 25 after subtracting 315 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
250 divided by 45 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 6421.75
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
250 divided by 45 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6421.755
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 6421.755 with a remainder of 0.0025.