find quotient with two digit number.
find quotient with two digit number.
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
  • Students will be able to divide 2-digit numbers by 1-digit numbers accurately.
  • Students will demonstrate an understanding of the relationship between multiplication and division.
  • Students will apply division skills to solve real-world problems involving sharing and grouping.
  • Students will develop logical reasoning and improve their problem-solving abilities.
  • Students will build confidence in performing basic division operations efficiently.

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Definition:

Division is a mathematical operation that involves splitting a number (called the dividend) into equal parts or groups. The number by which the dividend is divided is called the divisor, and the result of the division is called the quotient. The division helps determine how many times one number fits into another or how to distribute something equally.

In division, the dividend is the number being divided, and the quotient is the result after dividing the dividend by the divisor. When the dividend is a 2-digit number, we divide it by the divisor (a 1-digit number or another suitable number) to find the quotient.

For example, in 12÷3=4 12 is the dividend, 3 is the divisor, and 4 is the quotient, meaning 12 can be divided into 3 equal groups of 4.

Example 1:

Divide 48÷6.

Solution:

  • Identify the dividend: 48, and the divisor: 6.
  • Find how many times 6 goes into 48: 6×8=48
  • The quotient is 8.

Answer: 48÷6=8.

Example 2:

Divide 20÷4.

Solution:

  • Identify the dividend (20) and the divisor ().
  • Find how many times fit into 20: 4×5=20
  • The quotient is 5.

Answer: 20÷4=5.

Example 3:

Divide 72÷8.

Solution:

  • Identify the dividend: 72, and the divisor: 8.
  • Find how many times 8 goes into 72:  8×9=72
  • The quotient is 9.

Answer: 72÷8=9.

Example 4:

Divide 54÷9.

Solution:

  • Identify the dividend: 54, and the divisor: 9.
  • Find how many times 9 goes into 54: 9×6=54
  • The quotient is 6.

Answer: 54÷9=6.

Example 5:

Divide 81÷9.

Solution:

  • Identify the dividend (81) and the divisor (9).
  • Find how many times fits into 81: 9×9=81
  • The quotient is 9.

Answer: 81÷9=9.


Why it matters:

Understanding how to divide 2-digit numbers helps students build a strong foundation for problem-solving and logical reasoning. It is a critical skill used in real-life scenarios such as sharing items equally, calculating costs, or splitting time and resources efficiently. Mastering this concept prepares students for advanced mathematical operations like long division, fractions, and ratios.


By practicing division with 2-digit numbers, you can solve real-world problems quickly!

Let’s practice and evaluate your work together by dividing two-digit numbers.

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