We look at the division of 310800 by 45 
Let's see how many times 45 fits into 310800.

Advancing to step 1:
When dividing 3 by 45, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 45

Moving on to step 2:
45 can be fit into 31 0 times, resulting in a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Grab the next digit (0) from the dividend, add it to 31, then carry on: 310 / 45

Step 3:
45 goes into 310 6 times with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 270 from 310 leaves us with 40.
Grab the next digit (8) from the dividend, add it to 40, then carry on: 408 / 45

Going ahead to step 4:
The number 45 fits into 408 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 69.0
If we take 405 away from 408, we end up with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 45

Step 5:
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: 690.0
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 6:
300 divided by 45 is 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 6906.0
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 6906.6
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
45 can be fit into 300 6 times, resulting in a remainder of 30.
The next digit of our result is 6. 
Result so far: 6906.66
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 6906.66 with a remainder of 0.03.