31729 ÷ 7 = 4532 R5
Alright, let's work through the division of 31729 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 (7) of the dividend behind the 3 and repeat the process: 37 / 7

Step 3:
7 goes into 37 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 45
Subtract 35 from 37 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 7

Step 4:
7 goes into 22 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 453
Subtract 21 from 22 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: 4532
Subtract 14 from 19 to get 5.

The final result is 4532 with a remainder of 5.