Improv Math: Long Division

Introduction

• Long division is used for dividing large numbers not covered by standard division tables.
• Similar to short division but involves more digits.
• Break problems into smaller steps by evaluating digit by digit.

Components of a Long Division Problem

• Divisor: Number on the left of the division sign.
• Dividend: Number on the right of the division sign.
• Quotient: The result or answer of the division.
• Remainder: The leftover amount when division doesn't result in an exact number (focus today is on problems without a remainder).

Steps of Long Division

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

• Mnemonic: Remember steps with "Dirty Monkeys Smell Bad."

Example Problem: 745 ÷ 5

1. Set Up: Write the problem for long division as "745 divided by 5."
2. Process: Apply steps digit by digit.

Step-by-Step Breakdown

• Digit 7

  1. Divide: 5 goes into 7 one time. Write 1 above the 7.
  2. Multiply: 1 x 5 = 5. Write 5 below the 7.
  3. Subtract: 7 - 5 = 2.
  4. Bring Down: Bring down 4 next to 2, making 24.

• Digit 24

  1. Divide: 5 into 24 four times (5 x 4 = 20).
  2. Multiply: 4 x 5 = 20.
  3. Subtract: 24 - 20 = 4.
  4. Bring Down: Bring down the 5 next to 4, making 45.

• Digit 45

  1. Divide: 5 into 45 nine times.
  2. Multiply: 9 x 5 = 45.
  3. Subtract: 45 - 45 = 0.
  4. End: No more digits left.

Conclusion

• Successfully completed long division without remainder.
• Follow these steps to solve similar problems.
• For further verification, watch the video on checking long division answers.

Additional Resources

• Video on checking long division results.
• Thumbs up the video if it was helpful.