Question Detail

7226 divided by 871 = please show me how to do this step by step

Oct 13, 2016 10:18pm

  • Math / Other
  • 5
  • Assessment / Behavior


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    • Oct 29, 2016 5:36pm

      Three-digit divisors can be very challenging to do out. The CCSS standard keeps it to two-digit divisors. 5.NBT.B.6 "Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models."

      I like to use the partial quotients method for fifth grade. It's more forgiving than the traditional algorithm because you don't have to find the largest amount each time, just keep breaking out a part of your quotient. In Grade 6, the language of the CCSS standard includes the standard algorithm. Then students can rely on pulling out 100s, 10s and 5s first, then doing the smaller amounts at the end. That is shown in this example: