1310 ÷ 9 
Our goal is to divide 1310 by 9.

Advancing to step 1:
The number 9 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 9

Step 2:
If we divide 13 by 9, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 4 after subtracting 9 from 13.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 9

Advancing to step 3:
9 goes into 41 4 times with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 36 from 41 to get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 9

On to step 4:
9 goes into 50 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 145.0
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 5:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 145.5
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
If we divide 50 by 9, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 145.55
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 145.55, and the remainder is 0.005.