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.

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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

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