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?
- Divide
- Multiply
- Subtract
- 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.
- 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?
- 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?
- 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!
Answer Key
Part 1: Practice Problems
- 33
- 144
- 113
- 126 R 3 (or 126 remainder 3)
- 93
- 642
- 456 R 3 (or 456 remainder 3)
- 2,506
Part 2: Word Problems
- 52 bags. (468 ÷ 9 = 52)
- 155 shelves. (1,240 ÷ 8 = 155)
- Each friend gets 73 coins, and there will be 1 coin left over. (220 ÷ 3 = 73 R 1)
Part 3: Challenge Question
- 127