We look at the division of 296584 by 45 
We want to figure out the number of times 296584 can be divided by 45.

Moving on to step 1:
The number 45 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 45

Advancing to step 2:
The number 45 fits into 29 0 times, leaving a remainder of 29.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 29, we get 29.
Include the next digit (6) from the dividend after 29, then repeat: 296 / 45

Moving on to step 3:
The number 45 fits into 296 6 times, leaving a remainder of 26.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 26 after subtracting 270 from 296.
Bring next digit (5) of the dividend behind the 26 and repeat the process: 265 / 45

Let's proceed to step 4:
When dividing 265 by 45, we get 5 with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Subtract 225 from 265 to get 40.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 45

Step 5:
The number 45 fits into 408 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 659.0
Subtracting 405 from 408 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 45

Advancing to step 6:
The number 45 fits into 34 0 times, leaving a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 6590.0
The remainder is 34 after subtracting 0 from 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
45 goes into 340 7 times with a remainder of 25.
The next digit of our result is 7. 
Result so far: 6590.7
Subtracting 315 from 340 leaves us 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.

Advancing to step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6590.75
If we subtract 225 from 250, we 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.

Let's proceed to step 9:
45 can be fit into 250 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 6590.755
Deduct 225 from 250 and we're left 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.

After the division, we end up with 6590.755 and a remainder of 0.0025.