126488 divided by 45 
We're looking to find how many times 45 goes into 126488.

Step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 45

Moving on to step 2:
If we divide 12 by 45, we get 0 and a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 45

Step 3:
If we divide 126 by 45, we get 2 and a remainder of 36.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 90 from 126, we get 36.
Grab the next digit (4) from the dividend, add it to 36, then carry on: 364 / 45

Step 4:
The number 45 fits into 364 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 28.0
The remainder is 4 after subtracting 360 from 364.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 45

Let's proceed to step 5:
45 can be fit into 48 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 281.0
Subtracting 45 from 48 leaves us with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 45

Advancing to step 6:
38 divided by 45 is 0 with a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 2810.0
If we take 0 away from 38, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
When dividing 380 by 45, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 2810.8
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.

Step 8:
When dividing 200 by 45, we get 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 2810.84
If we subtract 180 from 200, we 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.

Let's proceed 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: 2810.844
Deduct 180 from 200 and we're left 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.

The final result is 2810.844 with a remainder of 0.002.