31309 ÷ 7 = 4472 R5
Alright, let's work through the division of 31309 by 7 step by step.

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 (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 4:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 447
Subtract 49 from 50 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 7

Step 5:
7 goes into 19 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 4472
Subtract 14 from 19 to get 5.

The final result is 4472 with a remainder of 5.