Unit 4: Division
Division as real sharing, worked all the way through long division, with remainders that finally make sense.
6 topics · 24 questions
Each topic is a path, not a menu: work down it in order and every question builds on the one above. Click any of them to watch the answer draw itself.
What Division Really Means
- How it worksHow does dealing out 15 cards one at a time into 3 piles show what division does?
- Common mistakeWhy can't you divide 3 friends by 12 cookies the same way you divide 12 cookies by 3 friends?
- Worked exampleFind how many treats each of 5 dogs gets if you divide 35 treats evenly among them.
- Going furtherWhat happens to each person's share if you divide 24 cupcakes among 8 friends instead of 4?
Your turn1 of 2
Ben has 7 dogs and a bag of 7 times 10 treats to share evenly among them. How many treats does each dog get?Division as the Opposite of Multiplication
- How it worksHow do the same 4 rows of 5 chairs show both 4 times 5 and 20 divided by 5?
- Common mistakeWhy doesn't checking a division answer mean redoing the whole division over again?
- Going furtherWhat happens to the multiplication fact you'd use if you divide 48 by 8 instead of 6?
Your turn1 of 2
A store has 9 shelves that together hold 9 times 8 cans of soup, spread evenly. How many cans are on each shelf?Long Division Step by Step
- How it worksHow does sharing 91 jellybeans among 4 friends ten at a time, then one at a time, turn the leftover into a remainder?
- Worked exampleFind how many baseball cards each of 5 friends gets by dividing 135 cards with long division.
- Worked exampleFind how many dollars each of 3 kids gets by splitting 246 dollars evenly using long division.
- Common mistakeWhy doesn't bringing down the next digit start a whole new division problem from scratch?
- Going furtherWhat changes in the long division steps if the number you're dividing by has two digits instead of one?
Your turn1 of 2
Sam has 7 times 42 trading cards and wants to split them evenly among 7 friends. How many cards does each friend get?Dividing a Multi-Digit Number by a One-Digit Number
- How it worksHow do you divide the hundreds, then the tens, then the ones when dividing 728 by 4?
- Worked exampleFind how many pages each of 6 kids reads if a 312-page book is split evenly among them.
- Going furtherWhat changes in the steps if you divide 728 by 8 instead of by 4?
- Ties togetherHow does dividing a multi-digit number connect to the place value of hundreds, tens, and ones?
Your turn1 of 2
A reading club of 7 kids splits a 7 times 65-page book evenly so everyone reads the same number of pages. How many pages does each kid read?Remainders and What They Mean
- How it worksHow do you turn the crayons left over after sharing 23 crayons among 4 friends into a remainder?
- Worked exampleFind the remainder when you divide 29 marbles evenly among 6 friends.
- Common mistakeWhy doesn't getting a remainder mean you did the division problem wrong?
Your turn1 of 2
Zoe has 8 times 8 marbles, plus 4 extra ones, and shares them evenly among 8 friends. How many marbles are left over?Estimating Quotients
- How it worksHow do you round 391 up to 400 to quickly estimate 391 divided by 4?
- Common mistakeWhy doesn't rounding both numbers up always give you the closest estimate?
- Worked exampleFind an estimate for 412 divided by 5 by rounding to the nearest ten first.
- Worked exampleFind an estimate for how many teams you'd make by splitting 87 kids into groups of 9.
- Going furtherWhat happens to your estimate if you round 68 up to 70 instead of down to 60 before dividing?
Your turn1 of 2
A charity has 768 dollars to split evenly among 4 shelters. Estimate each shelter's share by rounding 768 to the nearest ten first, then dividing.