Let's divide 31337 by 71
Let's see how many times 71 fits into 31337.

On to step 1:
The number 71 fits into 3 0 times, leaving 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.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 71

Moving on to step 2:
When dividing 31 by 71, we get 0 with a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 31 after subtracting 0 from 31.
Take the next digit (3) from the dividend and append it to 31, then repeat: 313 / 71

Moving on to step 3:
313 divided by 71 is 4 with a remainder of 29.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 284 from 313 to get 29.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 71

Step 4:
293 divided by 71 is 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 44.0
If we take 284 away from 293, we end up with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 71

On to step 5:
71 goes into 97 1 times with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 441.0
Subtracting 71 from 97 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 6:
If we divide 260 by 71, we get 3 and a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 441.3
Subtracting 213 from 260 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 7:
When dividing 470 by 71, we get 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 441.36
Subtract 426 from 470 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 8:
The number 71 fits into 440 6 times, leaving a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 441.366
If we subtract 426 from 440, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 441.366, and the remainder is 0.0014.