83687 ÷ 5 = 16737 R2
Alright, let's work through the division of 83687 by 5 step by step.

Step 1:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 8 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 5

Step 2:
5 goes into 33 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 30 from 33 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 5

Step 3:
5 goes into 36 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 167
Subtract 35 from 36 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 5

Step 4:
5 goes into 18 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 1673
Subtract 15 from 18 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 5

Step 5:
5 goes into 37 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 16737
Subtract 35 from 37 to get 2.

The final result is 16737 with a remainder of 2.