31781 ÷ 30 
Our goal is to divide 31781 by 30.

Moving on to step 1:
3 divided by 30 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 30

Advancing to step 2:
If we divide 31 by 30, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 30 away from 31, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 30

Let's proceed to step 3:
17 divided by 30 is 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 17, we get 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 30

Going ahead to step 4:
The number 30 fits into 178 5 times, leaving a remainder of 28.
The next digit of our result is 5. 
Result so far: 105.0
Subtracting 150 from 178 leaves us with 28.
Include the next digit (1) from the dividend after 28, then repeat: 281 / 30

On to step 5:
30 goes into 281 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 1059.0
The remainder is 11 after subtracting 270 from 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 6:
If we divide 110 by 30, we get 3 and a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 1059.3
If we subtract 90 from 110, 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.

Let's proceed to step 7:
When dividing 200 by 30, we get 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 1059.36
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
The next digit of our result is 6. 
Result so far: 1059.366
The remainder is 20 after subtracting 180 from 200.
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 1059.366, and the remainder is 0.002.