How to Do Long Division: Steps, Remainders, and Big Numbers

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This comprehensive math tutorial guides students through the process of long division, starting with a review of basic division concepts and vocabulary before advancing to multi-step problems. The video uses a friendly animated narrator to break down the standard algorithm into four memorable steps: Divide, Multiply, Subtract, and Bring Down. It employs a catchy chant and visual cues to help students retain this sequence, making a typically difficult procedure accessible and engaging. The video strategically scaffolds learning by beginning with simple two-digit dividends that divide evenly, then introducing problems with remainders, and finally tackling three-digit numbers where the divisor is larger than the first digit. Key mathematical terms such as dividend, divisor, quotient, and remainder are clearly defined and repeatedly identified throughout the examples to build academic vocabulary. Teachers can use this video as a core instructional tool for introducing the long division algorithm or as a review for struggling students. The clear, step-by-step visual representation of the bracket method allows for pausing and guided practice. The inclusion of the "Divide, Multiply, Subtract, Bring Down" mnemonic provides a powerful mental hook that students can rely on when solving problems independently.

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