When we teach people, we should make it our priority to teach how to think on their own, rather than give them a step-by-step instruction on how to deal with each problem that comes by.
ご質問ありがとうございます。
"When we teach people,"=「人々を指導するとき、」
"we should make it our priority"=「私たちが優先するべきことである」
"to teach how to think on their own,"=「彼らが自分で考えられるように教えることを」
"rather than give them a step-by-step instruction on how to deal with each problem that comes by."=「発生する問題ごとに、手取り足取り教えるのではなく。」
ご参考までに。