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Math Grade 4-5 Answer Key

Math: Dividing Larger Numbers 4-Digit Dividends

Practice long division with 4-digit dividends

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Math: Dividing Larger Numbers 4-Digit Dividends

Practice long division with 4-digit dividends

Math - Grade 4-5

Instructions: Read each problem carefully. Use long division or another clear strategy. Show your work in the space provided.
  1. 1

    Divide 1,248 by 4. Show your long division work.

    Start by dividing the thousands and hundreds from left to right.

    1,248 divided by 4 equals 312 because 4 times 312 equals 1,248.
  2. 2

    Divide 3,615 by 5.

    3,615 divided by 5 equals 723 because 5 times 723 equals 3,615.
  3. 3

    Divide 2,436 by 6. Check your answer with multiplication.

    Remember that a zero may be needed in the quotient when a place value does not divide evenly.

    2,436 divided by 6 equals 406. The check is 406 times 6 equals 2,436.
  4. 4

    Divide 5,824 by 8.

    5,824 divided by 8 equals 728 because 8 times 728 equals 5,824.
  5. 5

    A teacher has 1,296 pencils to put equally into 9 classroom supply boxes. How many pencils will go in each box?

    This problem asks for equal groups, so divide the total number of pencils by the number of boxes.

    Each box will have 144 pencils because 1,296 divided by 9 equals 144.
  6. 6

    Divide 4,572 by 3.

    4,572 divided by 3 equals 1,524 because 1,524 times 3 equals 4,572.
  7. 7

    Divide 6,742 by 7. Write the quotient and the remainder.

    After dividing, compare the remainder to the divisor. The remainder must be less than 7.

    6,742 divided by 7 equals 963 remainder 1 because 7 times 963 is 6,741, and 1 is left over.
  8. 8

    Divide 8,105 by 9. Write the quotient and the remainder.

    When there are no tens to divide after subtracting, place a zero in the tens place of the quotient.

    8,105 divided by 9 equals 900 remainder 5 because 9 times 900 is 8,100, and 5 is left over.
  9. 9

    A student reads 2,475 pages over 15 days, reading the same number of pages each day. How many pages does the student read each day?

    The student reads 165 pages each day because 2,475 divided by 15 equals 165.
  10. 10

    Divide 7,280 by 16.

    Try multiplying 16 by 400 first, then divide what is left.

    7,280 divided by 16 equals 455 because 16 times 455 equals 7,280.
  11. 11

    A sticker company has 4,968 stickers. It puts exactly 24 stickers in each pack. How many full packs can it make?

    The company can make 207 full packs because 4,968 divided by 24 equals 207.
  12. 12

    Divide 3,456 by 12. Show at least one step of your work.

    You can think of 12 times 200, then 12 times 80, then 12 times 8.

    3,456 divided by 12 equals 288 because 12 times 288 equals 3,456.
  13. 13

    Calculate both quotients: 5,040 divided by 7 and 5,040 divided by 8. Which quotient is greater?

    5,040 divided by 7 equals 720, and 5,040 divided by 8 equals 630. The quotient 720 is greater.
  14. 14

    There are 1,368 students going on a field trip. Each bus can carry 45 students. How many buses are needed so every student has a seat?

    A remainder means there are students left after filling the buses, so decide what must happen to them.

    31 buses are needed. 1,368 divided by 45 equals 30 remainder 18, so one more bus is needed for the remaining 18 students.
  15. 15

    A farmer packs 9,876 apples into crates that hold 36 apples each. How many full crates can the farmer fill, and how many apples are left over?

    Find the largest whole-number quotient, then use multiplication to check how many apples were packed.

    The farmer can fill 274 full crates with 12 apples left over because 9,876 divided by 36 equals 274 remainder 12.
LivePhysics™.com Math - Grade 4-5 - Answer Key