Divide Multi-Digit Numbers

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.

Language Objective: I can explain my division using the words dividend, divisor, quotient, and remainder.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see what it means and a picture.

Level 3: try the blanks from memory first, then check the bank.

1In 84 ÷ 7, the number 84 being divided is the .
2In 84 ÷ 7, the number 7 that we divide by is the .
3The answer to a division problem is called the .
4When a number does not divide evenly, the amount left over is the .
5Breaking division into easier chunks and adding the pieces uses .

Write About the Math Guided ESOL writing

Use the support level you need. Every level answers the same math question.

1. Understand the Question

explain

You used partial quotients for 1,344 ÷ 12. What steps did you use, and how do they build to the final quotient?

Your job: Answer the question. Use math evidence. Explain how the evidence proves your answer.Responde la pregunta. Usa evidencia matemática. Explica cómo la evidencia demuestra tu respuesta.

2. Plan Your Math Words

Check at least two words you will use.

Dividend — The number you are splitting up in a division problem.Dividendo — El número que estás repartiendo en una división. Divisor — The number you split by in a division problem.Divisor — El número entre el que divides en una división. Quotient — The answer when you divide.Cociente — La respuesta cuando divides. Remainder — What is left over when a number does not divide evenly.Residuo — Lo que sobra cuando un número no se divide de forma exacta. Partial quotients — A way to divide by breaking the problem into smaller, easier steps.Cocientes parciales — Una manera de dividir separando el problema en pasos más fáciles.

Say it first: Say your idea to a partner or quietly to yourself before you write.Di tu idea a un compañero o en voz baja antes de escribir.

First I took 12 × ___ = 1,200, then 12 × ___ = 144.Primero usé 12 × ___ = 1,200, luego 12 × ___ = 144.

3. Build Your Explanation

Model the parts: This model shows the parts of an explanation. It does not answer your writing question.

Claim: Estimating with friendly numbers checks whether the quotient is reasonable.

Evidence: Students estimate using 1,200 ÷ 12 = 100 (or similar) to predict roughly 100+ bars per section, identifying 1,344 as the dividend and 12 as the divisor.

Reasoning: This evidence connects the definition of dividend to the mathematical claim.

Start

Most language support

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

First I took 12 × ___ = 1,200, then 12 × ___ = 144.Primero usé 12 × ___ = 1,200, luego 12 × ___ = 144.
The quotient is ___ because I added the partial quotients ___.El cociente es ___ porque sumé los cocientes parciales ___.

Build

Some language support

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

My claim is ___.Mi afirmación es ___.
I know because ___.Lo sé porque ___.
So ___.Entonces ___.

Explain

Light language support

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.

My claim is ___.Mi afirmación es ___.
My math evidence is ___.Mi evidencia matemática es ___.
This proves ___ because ___.Esto demuestra ___ porque ___.

4. Check Your Explanation

I answered the question.Respondí la pregunta. I used math evidence: numbers, an equation, a model, or a comparison.Usé evidencia matemática: números, una ecuación, un modelo o una comparación. I explained how the evidence proves my answer.Expliqué cómo la evidencia demuestra mi respuesta. I used at least two math words.Usé por lo menos dos palabras matemáticas. I reread complete sentences and punctuation.Volví a leer mis oraciones completas y la puntuación.