189 divided by 7

2025

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30-03-2025

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Knowing how to perform long division is a fundamental math skill. This article will walk you through the process of dividing 189 by 7, explaining each step clearly. Whether you're a student brushing up on your skills or just curious about the answer, this guide will help you understand the calculation.

Understanding the Problem: 189 ÷ 7

The problem "189 divided by 7" asks: how many times does 7 go into 189? We'll solve this using long division.

Step-by-Step Solution: Long Division

Here's how to solve 189 ÷ 7 using long division:

Step 1: Set up the problem.

Write the problem like this:

      _____
7 | 189

Step 2: Divide the first digit.

How many times does 7 go into 1? It doesn't, so we move to the next digit.

Step 3: Divide the first two digits.

How many times does 7 go into 18? It goes in 2 times (7 x 2 = 14). Write the 2 above the 8 in the dividend (189).

      2____
7 | 189

Step 4: Multiply and subtract.

Multiply the quotient (2) by the divisor (7): 2 x 7 = 14. Subtract this from the first two digits of the dividend (18 - 14 = 4).

      2____
7 | 189
  -14
    4

Step 5: Bring down the next digit.

Bring down the next digit from the dividend (9), placing it next to the 4. This gives you 49.

      2____
7 | 189
  -14
    49

Step 6: Divide again.

How many times does 7 go into 49? It goes in 7 times (7 x 7 = 49). Write the 7 above the 9 in the dividend.

      27
7 | 189
  -14
    49

Step 7: Multiply and subtract.

Multiply the quotient (7) by the divisor (7): 7 x 7 = 49. Subtract this from 49 (49 - 49 = 0).

      27
7 | 189
  -14
    49
   -49
     0

Step 8: The answer.

There is no remainder. Therefore, 189 divided by 7 is 27.

Alternative Methods: Checking Your Work

While long division is a powerful technique, there are other ways to approach this problem and verify your answer:

• Multiplication: Multiply the quotient (27) by the divisor (7): 27 x 7 = 189. This confirms our answer.
• Calculator: Use a calculator to verify the result. This is a quick way to check your work, but understanding the process of long division is crucial for developing mathematical understanding.

Conclusion: Mastering Division

Understanding long division is an important skill. This step-by-step guide showed you how to solve 189 divided by 7, which equals 27. Remember to practice regularly to improve your fluency and confidence in tackling similar division problems. Now you can confidently tackle other division problems with a solid grasp of the process.