We look at the division of 289880 by 45 
Let's see how many times 45 fits into 289880.

On to step 1:
If we divide 2 by 45, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 45

On to step 2:
The number 45 fits into 28 0 times, leaving a remainder of 28.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 28, we get 28.
Include the next digit (9) from the dividend after 28, then repeat: 289 / 45

Moving on to step 3:
45 can be fit into 289 6 times, resulting in a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 270 from 289 and we're left with 19.
Fetch the next digit (8) from the dividend, attach it to 19 and continue: 198 / 45

Let's proceed to step 4:
The number 45 fits into 198 4 times, leaving a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
The remainder is 18 after subtracting 180 from 198.
Grab the next digit (8) from the dividend, add it to 18, then carry on: 188 / 45

Step 5:
When dividing 188 by 45, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 644.0
Deduct 180 from 188 and we're left with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 45

Moving on to step 6:
45 goes into 80 1 times with a remainder of 35.
The next digit of our result is 1. 
Result so far: 6441.0
If we take 45 away from 80, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 7:
350 divided by 45 is 7 with a remainder of 35.
The next digit of our result is 7. 
Result so far: 6441.7
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
When dividing 350 by 45, we get 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 6441.77
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 6441.77 with a remaining 0.035.