258023 ÷ 45 
We want to figure out the number of times 258023 can be divided by 45.

Going ahead to step 1:
2 divided by 45 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 45

Going ahead to step 2:
25 divided by 45 is 0 with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 25, we get 25.
Bring next digit (8) of the dividend behind the 25 and repeat the process: 258 / 45

Let's proceed to step 3:
258 divided by 45 is 5 with a remainder of 33.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 225 away from 258, we end up with 33.
Fetch the next digit (0) from the dividend, attach it to 33 and continue: 330 / 45

Moving on to step 4:
The number 45 fits into 330 7 times, leaving a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
Deduct 315 from 330 and we're left with 15.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 45

Let's proceed to step 5:
152 divided by 45 is 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 573.0
If we subtract 135 from 152, we get 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 45

On to step 6:
45 goes into 173 3 times with a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 5733.0
The remainder is 38 after subtracting 135 from 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
45 can be fit into 380 8 times, resulting in a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 5733.8
Subtract 360 from 380 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 45 fits into 200 4 times, leaving a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 5733.84
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 5733.844
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 5733.844 and a remainder of 0.002.