We look at the division of 302654 by 45 
We want to figure out the number of times 302654 can be divided by 45.

Step 1:
3 divided by 45 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 45

Let's proceed to step 2:
45 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Fetch the next digit (2) from the dividend, attach it to 30 and continue: 302 / 45

Step 3:
302 divided by 45 is 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 6.0
If we take 270 away from 302, we end up with 32.
Grab the next digit (6) from the dividend, add it to 32, then carry on: 326 / 45

Moving on to step 4:
If we divide 326 by 45, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 67.0
Subtract 315 from 326 to get 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 45

Moving on to step 5:
45 goes into 115 2 times with a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 672.0
If we subtract 90 from 115, we get 25.
Grab the next digit (4) from the dividend, add it to 25, then carry on: 254 / 45

Advancing to step 6:
45 goes into 254 5 times with a remainder of 29.
The next digit of our result is 5. 
Result so far: 6725.0
Subtracting 225 from 254 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
The number 45 fits into 290 6 times, leaving a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 6725.6
Subtract 270 from 290 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.

Advancing to step 8:
The number 45 fits into 200 4 times, leaving a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 6725.64
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.
Use 4 as the next digit of our solution. 
Result so far: 6725.644
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.

The quotient of the division is 6725.644, and the remainder is 0.002.