310233 ÷ 45 
We want to figure out the number of times 310233 can be divided by 45.

Let's proceed 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
Subtracting 0 from 3 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 45

Moving on to step 2:
31 divided by 45 is 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 45

Going ahead to step 3:
If we divide 310 by 45, we get 6 and a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 40 after subtracting 270 from 310.
Grab the next digit (2) from the dividend, add it to 40, then carry on: 402 / 45

Going ahead to step 4:
45 goes into 402 8 times with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we subtract 360 from 402, we get 42.
Bring next digit (3) of the dividend behind the 42 and repeat the process: 423 / 45

Let's proceed to step 5:
When dividing 423 by 45, we get 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 689.0
If we subtract 405 from 423, we get 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 45

Advancing to step 6:
If we divide 183 by 45, we get 4 and a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 6894.0
If we take 180 away from 183, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
If we divide 30 by 45, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 6894.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 6894.06
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
When dividing 300 by 45, we get 6 with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 6894.066
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 6894.066 with a remaining 0.003.