191 divided by 2

Daniel Parker

2 min read

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24-02-2025

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Many people find long division challenging. This article will guide you through dividing 191 by 2, explaining each step clearly. Understanding this simple example can build your confidence to tackle more complex division problems.

Understanding the Problem: 191 ÷ 2

Our problem is to find out how many times the number 2 goes into 191. We'll use long division to solve this. The answer will be a whole number (quotient) and a remainder (the amount left over).

Step-by-Step Solution: 191 ÷ 2

Step 1: Set up the Long Division

Write the problem as a long division problem:

      _____
2 | 191

Step 2: Divide the Hundreds Digit

How many times does 2 go into 1? It doesn't go in at all, so we move to the tens digit.

Step 3: Divide the Tens Digit

How many times does 2 go into 19? It goes in 9 times (2 x 9 = 18). Write the 9 above the 9 in 191.

      9____
2 | 191

Step 4: Subtract and Bring Down

Subtract 18 from 19: 19 - 18 = 1. Bring down the 1 from the ones place.

      9____
2 | 191
    -18
      11

Step 5: Divide the Ones Digit

How many times does 2 go into 11? It goes in 5 times (2 x 5 = 10). Write the 5 above the 1 in 11.

      95___
2 | 191
    -18
      11

Step 6: Subtract and Find the Remainder

Subtract 10 from 11: 11 - 10 = 1. This is our remainder.

      95
2 | 191
    -18
      11
     -10
       1

Step 7: State the Answer

191 divided by 2 is 95 with a remainder of 1. We can also express this as 95 R1 or 95 1/2 (since the remainder of 1 is one out of two parts).

Checking Your Work

To verify the answer, multiply the quotient (95) by the divisor (2) and add the remainder (1):

95 x 2 + 1 = 191

This matches our original number, confirming our answer is correct.

Conclusion: Mastering Division

Dividing 191 by 2 results in a quotient of 95 and a remainder of 1. By breaking down the problem into smaller, manageable steps, even complex long division problems can be solved accurately. This process enhances your mathematical skills. Remember to always check your work!