Question

remember to add the partial quotients to find the actual quotient.
use partial quotients to divide.

1. \\(30\overline{)570}\\) 2. \\(17\overline{)714}\\)
2. \\(24\overline{)984}\\) 4. \\(40\overline{)920}\\)
3. \\(13\overline{)858}\\) 6. \\(29\overline{)986}\\)
4. \\(35\overline{)980}\\) 8. \\(73\overline{)803}\\)

Explanation:

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Problem 1: $570 \div 30$

Step1: Find first partial quotient

$30 \times 10 = 300$, $570 - 300 = 270$

Step2: Find second partial quotient

$30 \times 9 = 270$, $270 - 270 = 0$

Step3: Sum partial quotients

$10 + 9 = 19$

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Problem 2: $714 \div 17$

Step1: Find first partial quotient

$17 \times 40 = 680$, $714 - 680 = 34$

Step2: Find second partial quotient

$17 \times 2 = 34$, $34 - 34 = 0$

Step3: Sum partial quotients

$40 + 2 = 42$

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Problem 3: $984 \div 24$

Step1: Find first partial quotient

$24 \times 40 = 960$, $984 - 960 = 24$

Step2: Find second partial quotient

$24 \times 1 = 24$, $24 - 24 = 0$

Step3: Sum partial quotients

$40 + 1 = 41$

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Problem 4: $920 \div 40$

Step1: Find first partial quotient

$40 \times 20 = 800$, $920 - 800 = 120$

Step2: Find second partial quotient

$40 \times 3 = 120$, $120 - 120 = 0$

Step3: Sum partial quotients

$20 + 3 = 23$

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Problem 5: $858 \div 13$

Step1: Find first partial quotient

$13 \times 60 = 780$, $858 - 780 = 78$

Step2: Find second partial quotient

$13 \times 6 = 78$, $78 - 78 = 0$

Step3: Sum partial quotients

$60 + 6 = 66$

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Problem 6: $986 \div 29$

Step1: Find first partial quotient

$29 \times 30 = 870$, $986 - 870 = 116$

Step2: Find second partial quotient

$29 \times 4 = 116$, $116 - 116 = 0$

Step3: Sum partial quotients

$30 + 4 = 34$

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Problem 7: $980 \div 35$

Step1: Find first partial quotient

$35 \times 20 = 700$, $980 - 700 = 280$

Step2: Find second partial quotient

$35 \times 8 = 280$, $280 - 280 = 0$

Step3: Sum partial quotients

$20 + 8 = 28$

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Problem 8: $803 \div 73$

Step1: Find first partial quotient

$73 \times 10 = 730$, $803 - 730 = 73$

Step2: Find second partial quotient

$73 \times 1 = 73$, $73 - 73 = 0$

Step3: Sum partial quotients

$10 + 1 = 11$

Answer:

1. $19$
2. $42$
3. $41$
4. $23$
5. $66$
6. $34$
7. $28$
8. $11$