We look at the division of 266889 by 45 
Let's see how many times 45 fits into 266889.

Step 1:
45 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 45

Moving on to step 2:
45 can be fit into 26 0 times, resulting in a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Grab the next digit (6) from the dividend, add it to 26, then carry on: 266 / 45

Moving on to step 3:
266 divided by 45 is 5 with a remainder of 41.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 41 after subtracting 225 from 266.
Bring next digit (8) of the dividend behind the 41 and repeat the process: 418 / 45

Moving on to step 4:
When dividing 418 by 45, we get 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 59.0
If we subtract 405 from 418, we get 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 45

Moving on to step 5:
45 can be fit into 138 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 593.0
If we take 135 away from 138, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 45

Step 6:
39 divided by 45 is 0 with a remainder of 39.
The next digit of our result is 0. 
Result so far: 5930.0
Deduct 0 from 39 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 7:
45 goes into 390 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 5930.8
Subtract 360 from 390 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
300 divided by 45 is 6 with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 5930.86
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
When dividing 300 by 45, we get 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 5930.866
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 5930.866 with a remaining 0.003.