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what is the quotient of 322 and 14

what is the quotient of 322 and 14

less than a minute read 20-01-2025
what is the quotient of 322 and 14

What is the Quotient of 322 and 14? A Step-by-Step Guide to Long Division

Finding the quotient of 322 and 14 means determining how many times 14 goes into 322. This is a classic long division problem. Let's break it down step-by-step:

Understanding Quotient, Dividend, and Divisor

Before we begin, let's define the terms:

  • Dividend: The number being divided (in this case, 322).
  • Divisor: The number we're dividing by (in this case, 14).
  • Quotient: The result of the division (what we're solving for).
  • Remainder: Any amount left over after the division is complete.

Performing Long Division: 322 ÷ 14

Here's how to solve 322 ÷ 14 using long division:

  1. Set up the problem: Write the dividend (322) inside the long division symbol and the divisor (14) outside.

    14 | 322
    
  2. Divide the first digit(s): How many times does 14 go into 32? It goes in two times (14 x 2 = 28). Write the "2" above the "2" in 322.

       2
    14 | 322
    
  3. Multiply and subtract: Multiply the quotient digit (2) by the divisor (14): 2 x 14 = 28. Subtract this from the first two digits of the dividend (32 - 28 = 4).

       2
    14 | 322
       -28
        4
    
  4. Bring down the next digit: Bring down the next digit from the dividend (2), placing it next to the 4 to make 42.

       2
    14 | 322
       -28
        42
    
  5. Divide again: How many times does 14 go into 42? It goes in three times (14 x 3 = 42). Write the "3" above the "2" in 322.

       23
    14 | 322
       -28
        42
    
  6. Multiply and subtract: Multiply the quotient digit (3) by the divisor (14): 3 x 14 = 42. Subtract this from 42 (42 - 42 = 0).

       23
    14 | 322
       -28
        42
       -42
         0
    
  7. The Quotient: There is no remainder. The quotient of 322 and 14 is 23.

Therefore, the answer to "What is the quotient of 322 and 14?" is 23\boxed{23}

This step-by-step process clarifies how to find the quotient using long division. Remember to practice to improve your skills with this fundamental mathematical operation.

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