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Divide these numbers. Make a clue board to help you.

Mathematics

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1, using the clue board method.

1. 669÷3669 \div 3

  • Clue Board for 3: 10×3=3010 \times 3 = 30 100×3=300100 \times 3 = 300 200×3=600200 \times 3 = 600 20×3=6020 \times 3 = 60 3×3=93 \times 3 = 9

  • Steps:

    1. 669−(200×3)=669−600=69669 - (200 \times 3) = 669 - 600 = 69
    2. 69−(20×3)=69−60=969 - (20 \times 3) = 69 - 60 = 9
    3. 9−(3×3)=9−9=09 - (3 \times 3) = 9 - 9 = 0
    4. Total quotient: 200+20+3=223200 + 20 + 3 = 223. Remainder: 0.
  • Answer: 223\boxed{\text{223}}

2. 484÷4484 \div 4

  • Clue Board for 4: 10×4=4010 \times 4 = 40 100×4=400100 \times 4 = 400 20×4=8020 \times 4 = 80 1×4=41 \times 4 = 4

  • Steps:

    1. 484−(100×4)=484−400=84484 - (100 \times 4) = 484 - 400 = 84
    2. 84−(20×4)=84−80=484 - (20 \times 4) = 84 - 80 = 4
    3. 4−(1×4)=4−4=04 - (1 \times 4) = 4 - 4 = 0
    4. Total quotient: 100+20+1=121100 + 20 + 1 = 121. Remainder: 0.
  • Answer: 121\boxed{\text{121}}

3. 255÷5255 \div 5

  • Clue Board for 5: 10×5=5010 \times 5 = 50 50×5=25050 \times 5 = 250 1×5=51 \times 5 = 5

  • Steps:

    1. 255−(50×5)=255−250=5255 - (50 \times 5) = 255 - 250 = 5
    2. 5−(1×5)=5−5=05 - (1 \times 5) = 5 - 5 = 0
    3. Total quotient: 50+1=5150 + 1 = 51. Remainder: 0.
  • Answer: 51\boxed{\text{51}}

4. 427÷6427 \div 6

  • Clue Board for 6: 10×6=6010 \times 6 = 60 70×6=42070 \times 6 = 420 1×6=61 \times 6 = 6

  • Steps:

    1. 427−(70×6)=427−420=7427 - (70 \times 6) = 427 - 420 = 7
    2. 7−(1×6)=7−6=17 - (1 \times 6) = 7 - 6 = 1
    3. Total quotient: 70+1=7170 + 1 = 71. Remainder: 1.
  • Answer: 71 remainder 1\boxed{\text{71 remainder 1}}

5. 165÷7165 \div 7

  • Clue Board for 7: 10×7=7010 \times 7 = 70 20×7=14020 \times 7 = 140 3×7=213 \times 7 = 21

  • Steps:

    1. 165−(20×7)=165−140=25165 - (20 \times 7) = 165 - 140 = 25
    2. 25−(3×7)=25−21=425 - (3 \times 7) = 25 - 21 = 4
    3. Total quotient: 20+3=2320 + 3 = 23. Remainder: 4.
  • Answer: 23 remainder 4\boxed{\text{23 remainder 4}}

6. 765÷9765 \div 9

  • Clue Board for 9: 10×9=9010 \times 9 = 90 80×9=72080 \times 9 = 720 5×9=455 \times 9 = 45

  • Steps:

    1. 765−(80×9)=765−720=45765 - (80 \times 9) = 765 - 720 = 45
    2. 45−(5×9)=45−45=045 - (5 \times 9) = 45 - 45 = 0
    3. Total quotient: 80+5=8580 + 5 = 85. Remainder: 0.
  • Answer: 85\boxed{\text{85}}

7. 984÷8984 \div 8

  • Clue Board for 8: 10×8=8010 \times 8 = 80 100×8=800100 \times 8 = 800 20×8=16020 \times 8 = 160 3×8=243 \times 8 = 24

  • Steps:

    1. 984−(100×8)=984−800=184984 - (100 \times 8) = 984 - 800 = 184
    2. 184−(20×8)=184−160=24184 - (20 \times 8) = 184 - 160 = 24
    3. 24−(3×8)=24−24=024 - (3 \times 8) = 24 - 24 = 0
    4. Total quotient: 100+20+3=123100 + 20 + 3 = 123. Remainder: 0.
  • Answer: 123\boxed{\text{123}}

8. 821÷7821 \div 7

  • Clue Board for 7: 10×7=7010 \times 7 = 70 100×7=700100 \times 7 = 700 7×7=497 \times 7 = 49

  • Steps:

    1. 821−(100×7)=821−700=121821 - (100 \times 7) = 821 - 700 = 121
    2. 121−(10×7)=121−70=51121 - (10 \times 7) = 121 - 70 = 51
    3. 51−(7×7)=51−49=251 - (7 \times 7) = 51 - 49 = 2
    4. Total quotient: 100+10+7=117100 + 10 + 7 = 117. Remainder: 2.
  • Answer: 117 remainder 2\boxed{\text{117 remainder 2}}

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