Lesson 6: Divide Multi-Digit Numbers Using an Algorithm6.NOS.2

I can…

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

Key words

• Algorithm — A step-by-step set of rules or instructions to solve a math problem.
• Dividend — The total number being divided into equal groups (the number inside the division bracket).
• Divisor — The number of equal groups you are dividing into (the number outside the division bracket).
• Quotient — The answer when you divide.
• Remainder — What is left over when a number does not divide evenly.
• Divide Multi-Digit Numbers — Separate a multi-digit number into equal groups to find a quotient.
• Long division — A method that repeats four steps — divide, multiply, subtract, bring down — until there are no digits left to bring down.
• Bring down — The fourth step of long division: move the next digit of the dividend down next to what is left, then start the cycle again.

Steps

1. I want 1,344 ÷ 12. The dividend is 1,344 and the divisor is 12, so 12 goes outside the bracket and 1,344 goes inside.
2. DIVIDE: 12 does not fit into 1, so I look at 13. How many 12s fit into 13? One. I write 1 above the 3.
3. MULTIPLY: 1 × 12 = 12. I write 12 underneath the 13.
4. SUBTRACT: 13 − 12 = 1. That is what is left so far.
5. BRING DOWN: I bring the next digit, 4, down next to the 1 to make 14. Now I repeat the cycle.
6. REPEAT: 14 ÷ 12 → 1 (written above the 4), 1 × 12 = 12, 14 − 12 = 2, and I bring down the last 4 to make 24.
7. REPEAT: 24 ÷ 12 → 2 (written above the last 4), 2 × 12 = 24, 24 − 24 = 0. Nothing is left to bring down, so the remainder is 0.
8. The digits I wrote are 1, 1, 2, so 1,344 ÷ 12 = 112. I check by multiplying: 12 × 112 = 1,344.

Try it

Next, you will run the cycle yourself on a new problem and fill in what happens in each round.

Check your answer

Check with your guided notes.

Sentence starter

I know ___ because ___.

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