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Long Division Example: 129 ÷ 9 with Remainder Calculation

In this lesson example, we explore the long division process for calculating 129 divided by 9, with a focus on showing the remainder. We will rewrite the division problem in vertical format, identify appropriate digits to work with, and utilize mental math to facilitate the calculations. Through step-by-step guidance, we find the quotient and remainder by bringing down digits, multiplying, subtracting, and arriving at the final answer: 14 with a remainder of 3.

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Long Division Example: 129 ÷ 9 with Remainder Calculation

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  1. 3-6 Example 2 Lesson 5-6 Example 2 Find 129 ÷ 9. Show the remainder. 1.Rewrite the problem in vertical format.

  2. 1 – 9 3 3-6 Example 2 Lesson 5-6 Example 2 Find 129 ÷ 9. Show the remainder. 2. Look at the first digit. The divisor is greater than the first digit, so look at the first two digits. What number multiplied by 9 is close to 12? 9 × 1 = 9. Put the answer under the dividend. Now use mental math. 12 – 9 = 3

  3. 1 – 9 3 3-6 Example 2 Lesson 5-6 Example 2 Find 129 ÷ 9. Show the remainder. 3.Bring down the last digit. What is it? What number multiplied by 9 is close to 39? 9

  4. 1 4 – 9 3 – 36 3 3-6 Example 2 Lesson 5-6 Example 2 Find 129 ÷ 9. Show the remainder. 4. 9 × 4 = 36. Write the product under the dividend. Then subtract. 9

  5. 1 4 – 9 3 – 36 3 3-6 Example 2 Lesson 5-6 Example 2 Find 129 ÷ 9. Show the remainder. 5.There are no more digits. The answer is 14 with a remainder of 3. Write 14 R3. R3 9

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