McLaren has struggled for both reliability and performance in 2015 and currently sits ninth in F1's constructors' championship, ahead of only Manor, with just 17 points.
Progress has been made, with Fernando Alonso scoring the team's best result of the season with fifth in Hungary before the summer break.
However, last Sunday's Belgian Grand Prix was a reality check, as Button and Alonso finished a lap down despite a major upgrade to the Honda engine.
[STORY: Lewis Hamilton eases to victory in Belgium]
When reminded of his pre-season comments, Button said: "I think the aim is getting both cars in the points. A podium? It's unlikely.
"For us, you have to think our best race is going to be Singapore; it's a slow-speed circuit with low-speed corners which we're very strong in.
"So that's probably the race where we will pick up the most points I should think."
Alonso echoed his team-mate's thoughts and added the remainder of the season was still important for McLaren in the context of ensuring 2016 is more productive.
Read the full article on eurosport.co.uk: Button: McLaren's goals have changed
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