Free Division Worksheets

Basic Division Facts

Cement the concept of division in students' brains through the use of manipulatives! Using base ten blocks, students would have to regroup all of the rods into small cubes, so they could make piles of nine. Instead of muddling things with complicated lingo (quotient, dividend, divisor), try this prompt, "How many _____'s are in _____?" For the question, 81 ÷ 9, the prompt would sound like, "How many 9's are in 81?" This prompt will benefit students later when they have to conceptualize decimal or fraction division. "How many thirds are in four wholes?" sounds better than, "What do you have to multiply by one third to get four?"

Long Division With No Remainders

Need an easier way to divide large numbers? Try this method using powers of ten. To successfully use this method, students need to be able to multiply by powers of ten and to subtract. Students subtract the dividend multiplied by decreasing powers of ten until they have zero or a remainder. Example: 1458 ÷ 54. Note 54 × 1 = 54, 54 × 10 = 540 (nothing greater is needed). 1458 - 540 - 540 = 378. Note that 540 was subtracted twice, so the number of times that 54 "goes into" 1458 so far is 20 times. Continuing, 378 - 54 - 54 - 54 - 54 - 54 - 54 - 54 = 0. Since 54 was subtracted seven times, the quotient increases by seven for a total of 27. In other words, 54 "goes into" 1458, 27 times.

Long Division With Remainders