Division with Remainders
Solving division problems when numbers do not divide evenly
Division with Remainders
Solving division problems when numbers do not divide evenly
Math - Grade 4-5
- 1
Divide 13 by 4. Write your answer as a quotient with a remainder.
Find the greatest multiple of 4 that is less than or equal to 13.
13 divided by 4 equals 3 remainder 1 because 4 x 3 = 12 and 13 - 12 = 1. - 2
Divide 22 by 5. Write your answer as a quotient with a remainder.
22 divided by 5 equals 4 remainder 2 because 5 x 4 = 20 and 22 - 20 = 2. - 3
Divide 31 by 6. Write your answer as a quotient with a remainder.
Use multiplication to check how many groups of 6 fit into 31.
31 divided by 6 equals 5 remainder 1 because 6 x 5 = 30 and 31 - 30 = 1. - 4
Divide 47 by 8. Write your answer as a quotient with a remainder.
47 divided by 8 equals 5 remainder 7 because 8 x 5 = 40 and 47 - 40 = 7. - 5
Divide 58 by 9. Write your answer as a quotient with a remainder.
The remainder must be less than 9.
58 divided by 9 equals 6 remainder 4 because 9 x 6 = 54 and 58 - 54 = 4. - 6
A teacher has 17 pencils and puts them into 3 equal groups. How many pencils are in each group, and how many are left over?
Each group has 5 pencils with 2 left over because 17 divided by 3 equals 5 remainder 2. - 7
There are 29 cookies. If 4 cookies fit on each plate, how many full plates can be made, and how many cookies are left?
Multiply 4 x 7 and compare it to 29.
You can make 7 full plates with 1 cookie left because 29 divided by 4 equals 7 remainder 1. - 8
A farmer packs 34 apples into bags of 6. How many full bags can the farmer make, and how many apples are left?
The farmer can make 5 full bags with 4 apples left because 34 divided by 6 equals 5 remainder 4. - 9
Solve 45 divided by 7. Write the quotient and remainder.
Think of the multiplication facts for 7.
45 divided by 7 equals 6 remainder 3 because 7 x 6 = 42 and 45 - 42 = 3. - 10
Solve 63 divided by 10. Write the quotient and remainder.
63 divided by 10 equals 6 remainder 3 because 10 x 6 = 60 and 63 - 60 = 3. - 11
A bus has 26 students. If 5 students sit in each row, how many full rows are used, and how many students are left without a full row?
Look for the greatest multiple of 5 that is not more than 26.
There are 5 full rows with 1 student left because 26 divided by 5 equals 5 remainder 1. - 12
A store has 41 cans. The cans are packed into boxes of 8. How many full boxes can be packed, and how many cans are left?
The store can pack 5 full boxes with 1 can left because 41 divided by 8 equals 5 remainder 1. - 13
Divide 72 by 11. Write your answer as a quotient with a remainder.
The remainder should be smaller than 11.
72 divided by 11 equals 6 remainder 6 because 11 x 6 = 66 and 72 - 66 = 6. - 14
Sam has 50 beads and makes bracelets with 9 beads each. How many complete bracelets can Sam make, and how many beads will be left?
Sam can make 5 complete bracelets with 5 beads left because 50 divided by 9 equals 5 remainder 5. - 15
Explain how you can check whether the answer to 38 divided by 6 equals 6 remainder 2 is correct.
Use the rule divisor x quotient + remainder = dividend.
You can check by multiplying the divisor and quotient, then adding the remainder. Since 6 x 6 = 36 and 36 + 2 = 38, the answer 6 remainder 2 is correct.