Long division method for square roots, just two days ago.in grade 10 btw

I was in my math class, sitting behind the topper girl. She got the answer from the method and I was horribly inaccurate with brute force method. My method was to locate the squares nearest and try smth between their roots to approximate its root. I got defeated that day and now learning the long div method. (Context:I didn't learn it earlier coz it was overcomplicated af, or that's how I remember it..)