We look at the division of 290565 by 45 
We want to figure out the number of times 290565 can be divided by 45.

On to step 1:
If we divide 2 by 45, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 45

Step 2:
The number 45 fits into 29 0 times, leaving a remainder of 29.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 29 to get 29.
Append the next digit (0) from the dividend to 29 and continue with: 290 / 45

Advancing to step 3:
When dividing 290 by 45, we get 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 270 from 290, we get 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 45

Advancing to step 4:
45 can be fit into 205 4 times, resulting in a remainder of 25.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we subtract 180 from 205, we get 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 45

Going ahead to step 5:
If we divide 256 by 45, we get 5 and a remainder of 31.
Write down 5 as next digit of the result. 
Result so far: 645.0
If we subtract 225 from 256, we get 31.
Grab the next digit (5) from the dividend, add it to 31, then carry on: 315 / 45

Going ahead to step 6:
45 goes into 315 7 times with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 6457.0
If we take 315 away from 315, 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.

Let's proceed to step 7:
45 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6457.0
Subtract 0 from 0 to 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.

On to step 8:
The number 45 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 6457.0
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.

The final outcome is 6457.0, with a leftover of 0.0.