Why division works

Thousands digit Hundreds digit Tens digit Ones digit How many 7's in 1? How many 7's in 15? How many 7's in 11? How many 7's in 42? Divide using long division. Check by multiplication. Long division worksheets Create an unlimited supply of worksheets for long division grades , including with 2-digit and 3-digit divisors. The worksheets can be made in html or PDF format - both are easy to print.

You can also customize them using the generator. Long division and why it works This is a complete lesson with instruction and exercises for fourth or fifth grade, explaining why long division works.

First write the dividend 'inside' the corner, and the divisor outside: 3 7 8 9. Hundreds "How many 3's in 7? Tens "How many 3's in 18? Ones "How many 3's in 9? Math Lessons menu. Hint: it has to do with a "recipe" that many math lessons follow.

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First write the dividend 'inside' the corner, and the divisor outside:. In this problem, you can see how Happy Numbers helps children visualize the problem. There are 12 oranges. There are 2 placed in each box. How many boxes are there?

You can check the answer by multiplying the quotient, 6, by the divisor, 2, 6 x 2 which gives us So, the answer is correct. As you can see in the above example of tennis balls, first, the balls are divided into groups of 4. These are the remainder. So, the quotient is 2 2 groups of 4 can be made and the remainder is 3.

To check the work, multiply the quotient, 2, times the divisor, 4. The answer is 8. External References. What does DMSB mean? What are the 5 steps of long division? Read Full Article. Do ratios help put numbers in perspective and understand them better? Read on to know more about Dessert Storm: Why going Dutch is the best way to pay an ice cream bill?

As adults, we normally argue about who will pay the bill. However, as kids, our argument would be Get free 1 yr access. Award-winning math curriculum, FREE for a year. Get access to unlimited practice material, gamified puzzles and grade-wise worksheets. Get free one year access.