31337 ÷ 7 = 4476 R5
Sure thing! Let's divide 31337 by 7 together.

Step 1:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 2:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 31 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 7

Step 3:
7 goes into 33 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 44
Subtract 28 from 33 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 7

Step 4:
7 goes into 53 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 447
Subtract 49 from 53 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

Step 5:
7 goes into 47 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 4476
Subtract 42 from 47 to get 5.

The final result is 4476 with a remainder of 5.