We're dividing 307333 by 45 
Our goal is to divide 307333 by 45.

Going ahead to step 1:
If we divide 3 by 45, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
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

On to step 2:
When dividing 30 by 45, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 45

On to step 3:
45 can be fit into 307 6 times, resulting in a remainder of 37.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 270 from 307 leaves us with 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 45

Step 4:
The number 45 fits into 373 8 times, leaving a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Subtracting 360 from 373 leaves us with 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 45

On to step 5:
133 divided by 45 is 2 with a remainder of 43.
Write down 2 as next digit of the result. 
Result so far: 682.0
If we subtract 90 from 133, we get 43.
Bring next digit (3) of the dividend behind the 43 and repeat the process: 433 / 45

Moving on to step 6:
45 can be fit into 433 9 times, resulting in a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 6829.0
If we take 405 away from 433, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
280 divided by 45 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 6829.6
Subtracting 270 from 280 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 45, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 6829.62
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
When dividing 100 by 45, we get 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 6829.622
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 6829.622 with a remainder of 0.001.