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Stroke order matters in Chinese: it keeps the character balanced, and it is how dictionaries and handwriting input methods expect a character to be written.
第 is an ideographic compound. Bamboo strips ⺮ arrayed in sequence; 弟 provides the pronunciation.
Radical: ⺮ + 5 more strokes
dì第

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Open the tool →第 (dì) means “Used to form ordinal numbers” in Chinese.
第 is pronounced dì in Mandarin Chinese.
第 has 11 strokes.
第 is written in 11 strokes, starting from the radical ⺮. See the animated stroke order on this page.
The radical of 第 is ⺮, and 第 is an ideographic compound.