We're dividing 305844 by 45 
Our goal is to divide 305844 by 45.

Going ahead to step 1:
45 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 45

Step 2:
45 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Grab the next digit (5) from the dividend, add it to 30, then carry on: 305 / 45

Going ahead to step 3:
When dividing 305 by 45, we get 6 with a remainder of 35.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 35 after subtracting 270 from 305.
Append the next digit (8) from the dividend to 35 and continue with: 358 / 45

Advancing to step 4:
When dividing 358 by 45, we get 7 with a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Subtract 315 from 358 to get 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 45

Step 5:
The number 45 fits into 434 9 times, leaving a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 679.0
Subtracting 405 from 434 leaves us with 29.
Fetch the next digit (4) from the dividend, attach it to 29 and continue: 294 / 45

Let's proceed to step 6:
The number 45 fits into 294 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 6796.0
Deduct 270 from 294 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
45 can be fit into 240 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 6796.5
Deduct 225 from 240 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
45 goes into 150 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 6796.53
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 6796.533
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 6796.533 with a remainder of 0.0015.