Materials Needed:

• Paper (lined or graph paper can be helpful!)
• Pencil
• Eraser
• (Optional) Calculator for checking answers at the end
• (Optional) Small items like beans or buttons for visualizing groups

Let's Dive into Long Division, Vienna!

Hey Vienna! Imagine you have a big bag of 48 cookies and you want to share them equally among 3 friends (and yourself, so 4 people total!). How many cookies does each person get? That's where long division comes in handy! It's like being a fair share detective.

Long division helps us solve problems where we're dividing larger numbers. It looks a bit like a funny house, right? Let's learn the steps:

1. Divide: Look at the first part of the big number (the dividend) inside the 'house'. How many times can the number outside (the divisor) fit into it?
2. Multiply: Multiply the number you just wrote on top (the quotient) by the divisor.
3. Subtract: Subtract the result from the part of the dividend you were looking at.
4. Bring Down: Bring down the next digit from the dividend next to your subtraction answer.
5. Repeat (or Remainder): Repeat the steps until there are no more digits to bring down. If there's a number left over after the last subtraction, that's the remainder!

A fun way to remember the steps is: Does McDonald's Sell Burgers? (Divide, Multiply, Subtract, Bring Down)

Example 1: Sharing those Cookies! (48 ÷ 4)

    12
   ____
4 | 48
   -4
   ---
    08
   - 8
   ---
     0

1. Divide: How many times does 4 go into 4? It goes 1 time. Write '1' above the 4.
2. Multiply: 1 * 4 = 4. Write '4' below the first 4.
3. Subtract: 4 - 4 = 0. Write '0'.
4. Bring Down: Bring down the next digit, 8. Now we have 08, or just 8.
5. Repeat - Divide: How many times does 4 go into 8? It goes 2 times. Write '2' above the 8.
6. Repeat - Multiply: 2 * 4 = 8. Write '8' below the 8.
7. Repeat - Subtract: 8 - 8 = 0. Write '0'.
8. Repeat - Bring Down: No more digits to bring down!

The answer (quotient) is 12. Each person gets 12 cookies! No cookies left over (remainder is 0).

Example 2: With a Remainder! (53 ÷ 4)

    13 R 1
   ____
4 | 53
   -4
   ---
    13
   -12
   ---
     1 

1. Divide: How many times does 4 go into 5? 1 time. Write '1' above the 5.
2. Multiply: 1 * 4 = 4. Write '4' below the 5.
3. Subtract: 5 - 4 = 1. Write '1'.
4. Bring Down: Bring down the 3. Now we have 13.
5. Repeat - Divide: How many times does 4 go into 13? 3 times (since 4*3=12 and 4*4=16, which is too big). Write '3' above the 3.
6. Repeat - Multiply: 3 * 4 = 12. Write '12' below the 13.
7. Repeat - Subtract: 13 - 12 = 1. Write '1'.
8. Repeat - Bring Down: No more digits. The '1' left over is the remainder!

The answer is 13 with a remainder of 1. We write this as 13 R 1.

Your Turn to Be the Detective!

Try these problems using the steps:

• 69 ÷ 3 = ?
• 85 ÷ 5 = ?
• 74 ÷ 6 = ? (Hint: This one might have a remainder!)
• 98 ÷ 7 = ?

Checking Your Work!

The super cool thing about division is that you can check your answer using multiplication! Multiply your quotient (the answer on top) by the divisor (the number outside). If there was a remainder, add it at the end. Your result should be the dividend (the number inside the house)!

For 53 ÷ 4 = 13 R 1:

• Check: (13 * 4) + 1 = 52 + 1 = 53. It matches! Hooray!

Keep practicing, Vienna! You'll be a long division pro in no time. Remember, it's just a puzzle with simple steps.