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Instructions

Long division helps us solve division problems with large numbers. It's like breaking down a big problem into smaller, easier steps. We can remember the steps with a silly phrase: Does McDonald's Sell Burgers?

  1. Divide
  2. Multiply
  3. Subtract
  4. Bring down

You just repeat these steps until you can't bring down any more numbers! Let's try one: 98 ÷ 7

  • Step 1 (Divide): How many times does 7 go into 9? It goes in 1 time. Write the 1 above the 9.
  • Step 2 (Multiply): Multiply that 1 by the 7. (1 x 7 = 7). Write the 7 below the 9.
  • Step 3 (Subtract): Subtract 7 from 9. (9 - 7 = 2). Write the 2 below the 7.
  • Step 4 (Bring down): Bring down the next number from the dividend, which is 8. Place it next to the 2, making 28.
  • REPEAT! Now we start over with our new number, 28.
  • Step 1 (Divide): How many times does 7 go into 28? It goes in 4 times. Write the 4 above the 8.
  • Step 2 (Multiply): Multiply that 4 by the 7. (4 x 7 = 28). Write 28 below the other 28.
  • Step 3 (Subtract): Subtract 28 from 28. (28 - 28 = 0).
  • Step 4 (Bring down): There are no more numbers to bring down! The 0 means there is no remainder.

So, 98 ÷ 7 = 14.


Part 1: Practice Problems

Solve the following long division problems. Show your work! Some may have a remainder.

1.   5 ) 165
2.   3 ) 432
3.   8 ) 904
4.   6 ) 759
5.   9 ) 837
6.   4 ) 2,568
7.   7 ) 3,195
8.   2 ) 5,012

Part 2: Word Problems

Read the questions carefully and show your work to find the answer.

  1. A candy factory produced 468 lollipops. If they want to put the lollipops into bags with 9 in each bag, how many full bags can they make?
  2. The school library has 1,240 new books to put on shelves. Each shelf can hold 8 books. How many shelves will be needed to hold all the new books?
  3. A group of 3 friends found a treasure chest with 220 gold coins. They want to share the coins equally. How many coins will each friend get? How many coins will be left over?

Part 3: Challenge Question

This one has a 2-digit divisor. Use the same "DMSB" steps to solve it!

1.   12 ) 1,524





Answer Key

Part 1: Practice Problems

  1. 33
  2. 144
  3. 113
  4. 126 R 3 (or 126 remainder 3)
  5. 93
  6. 642
  7. 456 R 3 (or 456 remainder 3)
  8. 2,506

Part 2: Word Problems

  1. 52 bags. (468 ÷ 9 = 52)
  2. 155 shelves. (1,240 ÷ 8 = 155)
  3. Each friend gets 73 coins, and there will be 1 coin left over. (220 ÷ 3 = 73 R 1)

Part 3: Challenge Question

  1. 127
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