IM 6.5.10 Lesson: Using Long Division

Estimate these quotients mentally.
[math]500\div7[/math]
[math]1,\!394 \div 9[/math][br]
Lin has a method of calculating quotients that is different from Elena’s method and Andre’s method. Here is how she found the quotient of 657 ÷ 3:
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[/img][br][br]Discuss with your partner how Lin’s method is similar to and different from drawing base-ten diagrams or using the partial quotients method.[br][br]Lin subtracted [b][math]3⋅2[/math][/b], then [math]3⋅1[/math], and lastly [math]3⋅9[/math]. Earlier, Andre subtracted [math]3⋅200[/math], then [math]3⋅10[/math], and lastly [math]3⋅9[/math]. Why did they have the same quotient?
In the third step, why do you think Lin wrote the 7 next to the remainder of 2 rather than adding 7 and 2 to get 9?
Lin’s method is called long division. Use this method to find the following quotients. Check your answer by multiplying it by the divisor.
Find each quotient.
[math]633\div3[/math]
[math]1001\div7[/math]
[math]2996\div14[/math]
Here is Priya’s calculation of [math]906\div3[/math].[br][br][img]data:image/png;base64,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[/img][br][br]Priya wrote 320 for the value of [math]906\div3[/math]. Check her answer by multiplying it by 3. What product do you get and what does it tell you about Priya’s answer?
Describe Priya’s mistake, then show the correct calculation and answer.

IM 6.5.10 Practice: Using Long Division

Kiran is using long division to find [math]696\div12[/math].[br][br][img]data:image/png;base64,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[/img][br]He starts by dividing 69 by 12. In which decimal place should Kiran place the first digit of the quotient (5)?
Here is a long-division calculation of 917 ÷7.
[img]data:image/png;base64,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[/img][br][br]There is a 7 under the 9 of 917. What does this 7 represent?
What does the subtraction of 7 from 9 mean?[br]
Why is a 1 written next to the 2 from [math]9-7[/math]?
Han's calculation of 972 ÷ 9 is shown here.
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[/img][br]Find [math]180⋅9[/math].
Use your calculation of [math]180⋅9[/math] to explain how you know Han has made a mistake.
Identify and correct Han’s mistake.
Find the quotient.
Find each quotient.
Find each quotient.
One ounce of a yogurt contains of 1.2 grams of sugar. How many grams of sugar are in 14.25 ounces of yogurt?
The mass of one coin is 16.718 grams. The mass of a second coin is 27.22 grams. How much greater is the mass of the second coin than the first? Show your reasoning.

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