Long division when there is a zero in the dividend
This is a complete lesson with instruction and exercises for fourth grade, where students divide four-digit numbers using long division, and the quotient may have a zero. The lesson also shows an example and exercises of short, even divisions, and some word problems
|Study the example carefully. We need to place a zero in the quotient.|
1. Let's practice! There will be a zero in the quotient. Multiply to check.
|a. Check:||b. Check:|
|c. Check:||d. Check:|
2. For more practice, do these in a notebook or blank paper. Use grid paper if possible.
|a. 8,115 ÷ 3||b. 6,540 ÷ 5||c. 9,163 ÷ 7||d. 6,378 ÷ 6|
Short, even division
2,156 ÷ 7 is easy to do mentally:
2,100 ÷ 7 is 300, and 56 ÷ 7 is 8. So the answer is 308.
If we use the division corner, we get a really “short” division. That is because the division is even from the start. So, simply move on to the next digit in the dividend. You do not have to multiply & subtract.
4. Mary divided her 285 buttons
a. in one compartment
b. in three compartments
c. in four compartments.
a. Find each person's share of the cost.
b. Find each person's share of the
This lesson is taken from Maria Miller's book Math Mammoth Division 2, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.
A self-teaching worktext for 4th grade that covers long division, finding fractional parts with division, word problems, remainder, average, and divisibility.
Download ($5.10). Also available as a printed copy.