What would be the steps of construction to divide a line segment in the ratio of 5 : 8 ?

Steps of construction:

1. Draw a ray AX making an acute angle with AB.

2. Locate 13 (5+8) points A₁, A₂.......A₁₃ on AX so that AA₁ = A₁A₂= A₂A₃.......= A₁₂A₁₃

3. Join BA₁₃

4. Through the point A₅, draw a line parallel to A₁₃B intersecting AB at point C. Then AC : CB = 5 : 8