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Copyright © 2021 K5 Learning Long Division – 2 Digits By 1 Digit – With Remainders – 8 Worksheets Welcome to the division worksheets page at Math-Drills.com! Please give us your undivided attention while we introduce this page. Our worksheets for division help you to teach students the very important concept of division. If students have a good recall of multiplication facts, the division facts should be a breeze to teach. If you want your students to experience success in learning division, please make sure they know their multiplication facts to 81, how to multiply by 0 and how to multiply by 10. If they dont know these things, this is going to take a lot longer. On this page you will find many Division Worksheets including division facts and long division with and without remainders. We start off with some division facts which as you know are just the multiplication facts expressed in a different way. The main difference is that you cant divide by 0 and get a real number. If you really want your students to impress, say at their dinner table when their parents ask them what they learned today, you can teach them that division by zero is undefined. The rest of the page is devoted to long division which for some reason is disliked among some members of the population. Long division is most difficult when students dont know their multiplication facts, so make sure they know them first. Oh, we already said that. What about a long division algorithm... maybe the one you or your parents or your grandparents learned? We adamantly say, yes! The reason that you and your ancestors used it is because it is an efficient and beautiful algorithm that will allow you to solve some of the most difficult division problems that even base ten blocks couldnt touch. It works equally well for decimals and whole numbers. Long division really isnt that hard. Most Popular Division Worksheets this Week Division Facts Worksheets Division facts worksheets including division tables, division facts and worksheets with individual division facts. Horizontal division facts worksheets Manipulatives can help students get the concept of division. For example, students could regroup base ten blocks into units, then divide the units into piles. For example, 81 ÷ 9 would end up being 9 piles of 9 units. Division is essentially asing the question, How many _____s are in _____? For the question, 81 ÷ 9, the prompt would sound like, How many 9s are in 81? This prompt will benefit students in later math studies when there are more complex concepts such as dividing decimals or fractions. How many thirds are in four? or even better,, How many third cups are in four cups? If necessary, get out the measuring cups. Long Division Worksheets Long division worksheets for practicing various long division strategies including questions with no remainders, remainders and decimal quotients. Long Division on a Grid Divisibility Rules Worksheets for practicing divisibility rules including a variety of small and large numbers and focusing on various divisors. Divisibility rules Divisibility by 2, 5 and 10 A number is divisible by 2 if the final digit (the digit in the ones place) is even. Numbers ending in 0, 2, 4, 6, or 8 therefore are divisible by 2. A number is divisible by 5 if the final digit is a 0 or a 5. A number is divisible by 10 if the final digit is a 0. Divisibility by 3, 6 and 9 A number is divisible by 3 if the sum of its digits is divisible by 3. For example, 285 is divisible by 3 because 2 + 8 + 5 = 15 is divisible by 3. A number is divisible by 6 if it is divisible by both 3 and 2 (see above rules). A number is divisible by 9 if the sum of its digits is divisible by 9. For examples, 285 is not divisible by 9 because 2 + 8 + 5 = 15 is not divisible by 9. Divisibility by 4, 7 and 8 A number is divisible by 4 if the last two digits of the number are divisible by 4. For 7, there are a couple of strategies to use. Please see Divisibility Tricks for Learning Math for more information. A number is divisible by 8 if the last three digits are divisible by 8. This is the standard rule which can be a little sketchy for larger numbers, like who knows if 680 is divisible by 8? Because of this, we offer our Math-Drills.com solution which requires a little arithmetic, but can be accomplished quite easily with a little practice. As you know 8 is 2 to the third power, so we thought if you could divide the last three digits of a number by 2 three times, it would be divisible by 8. 680 ÷ 2 ÷ 2 ÷ 2 = 340 ÷ 2 ÷ 2 = 170 ÷ 2 = 85. We have a winner! 680 is indeed divisible by 8. Dividing in Other Base Number Systems Dividing numbers in number systems other than decimal numbers including binary, quaternary, octal, duodecimal and hexadecimal numbers. 2-Digit Dividends (Remainders)Division with Remainders Step-by-StepTeach the concept of remainders with the help of these pages3rd and 4th GradesColor and Divide: Castle FREE Solve these division problems; includes 1-digit and 2-digit quotients with remainders. Then color the picture of the knight, dragon, and castle.3rd through 5th GradesDivision Boxes: 2-Digit DividendsStudent rewrite each division problem and solve. Each problem has a 2-digit dividend. The quotients each have 1 or 2 digits. Most problems have remainders.4th Grade
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