Summary of Long Division: A Step-By-Step Review | How to do Long Division | Math with Mr. J

Main Ideas and Concepts

The video "Long Division: A Step-By-Step Review" by Mr. J provides a comprehensive review of long division, covering both one-digit and two-digit divisors. The video emphasizes the importance of understanding the division process and provides detailed examples to illustrate each step.

Key Concepts Covered

• Definition of Terms:
  • Dividend: The number being divided (e.g., 820 in 820 ÷ 5).
  • Divisor: The number by which the Dividend is divided (e.g., 5 in 820 ÷ 5).
• Long Division Steps:
  • Divide: Determine how many whole groups of the Divisor fit into the current portion of the Dividend.
  • Multiply: Multiply the Divisor by the result from the divide step.
  • Subtract: Subtract the product from the current portion of the Dividend.
  • Bring Down: Bring down the next digit of the Dividend.
  • Repeat: Continue the process until all digits have been brought down.

Methodology for Long Division

Dividing by One-Digit Divisors

• Example 1: 820 ÷ 5:
  • Set up the division: 820 (Dividend) under the division bar and 5 (Divisor) outside.
  • Follow the steps:
    • Divide: 8 ÷ 5 = 1
    • Multiply: 1 × 5 = 5
    • Subtract: 8 - 5 = 3
    • Bring down the next digit (2): Now consider 32.
    • Repeat: 32 ÷ 5 = 6, Multiply: 6 × 5 = 30, Subtract: 32 - 30 = 2, Bring down 0: Now consider 20.
    • Repeat: 20 ÷ 5 = 4, Multiply: 4 × 5 = 20, Subtract: 20 - 20 = 0.
  • Final answer: 820 ÷ 5 = 164.
• Example 2: 6542 ÷ 8:
  • Set up the division: 6542 under the division bar, 8 outside.
  • Follow the steps:
    • Divide: 6 ÷ 8 = 0, Move to 65.
    • Divide: 65 ÷ 8 = 8, Multiply: 8 × 8 = 64, Subtract: 65 - 64 = 1, Bring down 4: Now consider 14.
    • Repeat: 14 ÷ 8 = 1, Multiply: 1 × 8 = 8, Subtract: 14 - 8 = 6, Bring down 2: Now consider 62.
    • Repeat: 62 ÷ 8 = 7, Multiply: 7 × 8 = 56, Subtract: 62 - 56 = 6.
  • Final answer: 6542 ÷ 8 = 817 R6.

Dividing by Two-Digit Divisors

• Example 1: 962 ÷ 20:
  • Set up: 962 under the division bar, 20 outside.
  • Follow the steps:
    • Divide: 9 ÷ 20 = 0, Move to 96.
    • Divide: 96 ÷ 20 = 4, Multiply: 4 × 20 = 80, Subtract: 96 - 80 = 16, Bring down 2: Now consider 162.
    • Repeat: 162 ÷ 20 = 8, Multiply: 8 × 20 = 160, Subtract: 162 - 160 = 2.
  • Final answer: 962 ÷ 20 = 48 R2.
• Example 2: 6865 ÷ 73:
  • Set up: 6865 under the division bar, 73 outside.
  • Follow the steps:
    • Divide: 6 ÷ 73 = 0, Move to 68.
    • Divide: 68 ÷ 73 = 0, Move to 686.
    • Estimate: 73 × 9 = 657 (close to 686).
    • Divide: 686 ÷ 73 = 9, Multiply: 9 × 73 = 657, Subtract: 686 - 657 = 29, Bring down 5: Now consider 295.
    • Repeat: 295 ÷ 73 = 4, Multiply: 4 × 73 = 292, Subtract: 295 - 292 = 3.
  • Final answer: 6865 ÷ 73 = 94 R3.

Conclusion

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