We divide 31466 by 45
We want to divide 31466 by 45.

Advancing to step 1:
45 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 45

Let's proceed to step 2:
The number 45 fits into 31 0 times, leaving a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 45

Going ahead to step 3:
When dividing 314 by 45, we get 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 270 from 314 and we're left with 44.
Include the next digit (6) from the dividend after 44, then repeat: 446 / 45

On to step 4:
If we divide 446 by 45, we get 9 and a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Subtract 405 from 446 to get 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 45

On to step 5:
45 goes into 416 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 699.0
Deduct 405 from 416 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 6:
110 divided by 45 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 699.2
If we take 90 away from 110, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
45 goes into 200 4 times with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 699.24
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
When dividing 200 by 45, we get 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 699.244
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 699.244, and the remainder is 0.002.