## Division Worksheets With Remainder3 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               