We're dividing 300662 by 45 
Our goal is to divide 300662 by 45.

Step 1:
The number 45 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 45

Going ahead to step 2:
45 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 45

Let's proceed to step 3:
300 divided by 45 is 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 270 from 300, we get 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 45

Step 4:
306 divided by 45 is 6 with a remainder of 36.
The next digit of our result is 6. 
Result so far: 66.0
Subtract 270 from 306 to get 36.
Bring next digit (6) of the dividend behind the 36 and repeat the process: 366 / 45

Let's proceed to step 5:
If we divide 366 by 45, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 668.0
Subtract 360 from 366 to get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 45

Step 6:
The number 45 fits into 62 1 times, leaving a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 6681.0
Deduct 45 from 62 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
45 goes into 170 3 times with a remainder of 35.
The next digit of our result is 3. 
Result so far: 6681.3
Subtracting 135 from 170 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 6681.37
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
When dividing 350 by 45, we get 7 with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 6681.377
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 6681.377 and a remainder of 0.0035.