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3. divide using partial quotients. then, check your work with multiplic…

Question

  1. divide using partial quotients. then, check your work with multiplication!

a. 1,785 ÷ 7

Explanation:

Step1: Subtract 7*200 from dividend

$1785 - 7\times200 = 1785 - 1400 = 385$

Step2: Subtract 7*50 from new remainder

$385 - 7\times50 = 385 - 350 = 35$

Step3: Subtract 7*5 from new remainder

$35 - 7\times5 = 35 - 35 = 0$

Step4: Sum all partial quotients

$200 + 50 + 5 = 255$

Step5: Verify with multiplication

$255\times7 = 1785$

Answer:

$1785\div7 = 255$