We look at the division of 671888 by 45 
We're looking to find how many times 45 goes into 671888.

Step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 45

Advancing to step 2:
When dividing 67 by 45, we get 1 with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 45 from 67, we get 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 45

Let's proceed to step 3:
The number 45 fits into 221 4 times, leaving a remainder of 41.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we subtract 180 from 221, we get 41.
Include the next digit (8) from the dividend after 41, then repeat: 418 / 45

Going ahead to step 4:
45 can be fit into 418 9 times, resulting in a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 149.0
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

Advancing to step 5:
When dividing 138 by 45, we get 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 1493.0
Subtracting 135 from 138 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 45

On to step 6:
45 can be fit into 38 0 times, resulting in a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 14930.0
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.

Going ahead to step 7:
If we divide 380 by 45, we get 8 and a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 14930.8
If we take 360 away from 380, we end up 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.

Step 8:
If we divide 200 by 45, we get 4 and a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 14930.84
If we take 180 away from 200, we end up 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.

Step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The next digit of our result is 4. 
Result so far: 14930.844
The remainder is 20 after subtracting 180 from 200.
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 14930.844 with a remainder of 0.002.