We divide 305110 by 45
We're looking to find how many times 45 goes into 305110.

Moving on to step 1:
When dividing 3 by 45, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 45

On to step 2:
The number 45 fits into 30 0 times, leaving a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Include the next digit (5) from the dividend after 30, then repeat: 305 / 45

On 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
Subtracting 270 from 305 leaves us with 35.
Grab the next digit (1) from the dividend, add it to 35, then carry on: 351 / 45

On to step 4:
If we divide 351 by 45, we get 7 and a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 67.0
Subtract 315 from 351 to get 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 45

On to step 5:
When dividing 361 by 45, we get 8 with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 678.0
The remainder is 1 after subtracting 360 from 361.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 45

On to step 6:
The number 45 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6780.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 6780.2
If we take 90 away from 100, we end up 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.

Let's proceed to step 8:
45 can be fit into 100 2 times, resulting in a remainder of 10.
The next digit of our result is 2. 
Result so far: 6780.22
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 6780.22 with a remainder of 0.01.