Division Worksheets With Remainder
3 digits by 1 digit



Type 1 - Quotient < 100



Reminders & Tips for - Division Worksheets With Remainder 3 digits by 1 digit (Q < 100):
  • A Reminder: you already must know your Division Table to 100.

  • Tips: Since we deal in this worksheet with quotients less than 100, we can't "chip off" any 100s × divisor from our dividend.

    So, we are going to "chip off" as many 10s × divisor from it, and then deal with what's left.

  • Therefore, the first dividend-"chip" (in green in worksheet below) must be a product from a Multiplication Table to 100 × 10, and that product must be divisible by our divisor.

  • What's left is what I call a "Defective" Division Table to 100.

    You have an almost "straight" division table to 100 case, but you have to get rid of a "defect" aka remainder.

  • Comment: Essentially, this is how all division, with or without remainder, including a long division, is done.





Division Worksheet With Remainder 3 digits by 1 digit (Q < 100):
Example:   281 ÷ 3 = ?

  • So, as mentioned in tips above, the first dividend-"chip" must be a product from a Multiplication Table to 100 × 10, i.e. 27×10 = 270

    (also 27 is divisible by our divisor and of course, 270 is less than the original dividend)


  • Now we have this situation:
    (270 + 11) ÷ 3


  • What's left is what I call a "Defective" Division Table to 100 case.
    11 is not divisible by 3, but 9 is, so we "chip off" further:
    (270 + 9 + 2) ÷ 3


  • When we drop the parentheses:
    270÷3 + 9÷3 + 2÷3


  • 270÷3 =  90


  • 9÷3 =  3 (is from a "straight" division table to 100)


  • and we're left with a "defect"  2  called a Remainder
    (since 2÷3 < 1, therefore a fraction, not a whole number)


  • Our solution is (90 + 3)  Q 93  with a  R 2





Pay attention, please...


   



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