Long division with a number greater than 1,000 by a number <10
Long division with a number greater than 1,000 by a number <10

Long division with a number greater than 1,000 by a number <10

Students divide numbers greater than 1,000 by a number <10 using long division.

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General

The students learn to use long division to divide a number greater than 1,000 by a number less than 10.

Standards

CCSS.Math.Content.6.NS.B.2

Learning objective

Students will be able to use long division to divide a number greater than 1,000 by a number less than 10.

Introduction

The students use long division to solve two problems with numbers to 100.

Instruction

Explain that with long division you put the numbers of the problem next to one another. First you write the divisor on the left. Then you write the dividend on the right and draw a box around it. Your answer will go on top of the box. Show that you first look at the first digit of the dividend. This is the 5 of 5076. You cannot divide this 5 by 6, so you also need the next digit. Next you see how many times you can divide 50 by 6. Emphasize that to help you with this you can make a row of the table of 6. In this way you can quickly see what the largest number is that you can take away. In this case, the largest number is: 8 × 6 = 48. Write the number 48 under 50 and subtract these from each other. You write the answer (2) underneath. You write the 8, from 8 × 6, in the answer on top of the box. 6 does not fit into 2, so you look to the next digit again. Write the 7 from 5076 next to the 2. Now you have 27. Now you look again to see what the largest number is that you can take away. That is 4 × 6 = 24. Write the 24 under the number 27 and subtract. Now you have 3 left over. You write the 4 from 4 × 6 next to the 8 in the answer. 6 no longer fits in 3. So you write the 6 from 5076 next to the 3. Now you have 36. The largest number you can take away now is 6 × 6. Subtract the 36 from the 36. Now you have 0 left over. Now write the 6 next to the 4 in the answer. Your full answer is now 846. Next you can practice the problem 8656 ÷ 4 = together with the students. You may remove the cover to show the helping row. Now have the students solve the following problems on their own using long division.

Check whether the students can use long division to divide a number greater than 1,000 by a number <10 by asking the following question:
- What steps do you follow to solve a problem with a number greater than 1,000 with long division?

Quiz

The students test their understanding of using long division to divide a number greater than 1,000 by a number <10 through ten exercises. These exercises are all problems that should be solved through long division, and the students can use scrap paper to write each problem to find their answer.

Closing

Discuss once again the importance of being able to use long division to divide a number greater than 1,000 by a number <10. As a closing activity you can have the students solve the problems working in pairs. First have them solve the problem individually, and then check with their partner. Also see if either of them could have solved the problem in fewer steps.

Teaching tips

Have the students that have difficulty with long division with a number greater than 1,000 by a number <10 first practice with long division with a number to 100. Have these students first make a helping row, before they begin their calculations for the problem.

Instruction materials

Scrap paper

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