We divide 312231 by 45
We want to divide 312231 by 45.

Going ahead to step 1:
3 divided by 45 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 45

On to step 2:
45 can be fit into 31 0 times, resulting in 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.
Take the next digit (2) from the dividend and append it to 31, then repeat: 312 / 45

Moving on to step 3:
45 goes into 312 6 times with a remainder of 42.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 270 from 312 and we're left with 42.
Append the next digit (2) from the dividend to 42 and continue with: 422 / 45

Let's proceed to step 4:
If we divide 422 by 45, we get 9 and a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Subtracting 405 from 422 leaves us with 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 45

On to step 5:
If we divide 173 by 45, we get 3 and a remainder of 38.
Record the quotient 3 as the next digit in the result. 
Result so far: 693.0
The remainder is 38 after subtracting 135 from 173.
Fetch the next digit (1) from the dividend, attach it to 38 and continue: 381 / 45

Going ahead to step 6:
381 divided by 45 is 8 with a remainder of 21.
Write down 8 as next digit of the result. 
Result so far: 6938.0
Subtract 360 from 381 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
If we divide 210 by 45, we get 4 and a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 6938.4
Subtract 180 from 210 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.

On to step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
The next digit of our result is 6. 
Result so far: 6938.46
Subtracting 270 from 300 leaves us 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.

Advancing to step 9:
45 goes into 300 6 times with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 6938.466
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.

In conclusion, the division gives 6938.466 with a balance of 0.003.