what is 208 divided by 5

Natashya

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25-12-2024

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So, you want to know what 208 divided by 5 is? This is a classic long division problem. Let's break it down step-by-step to understand how to solve it, and what the answer means.

Understanding the Problem: 208 ÷ 5

The problem "208 divided by 5" (written as 208 ÷ 5) asks: How many times does 5 go into 208? The answer will be a whole number and a remainder (or a decimal if you prefer).

Step-by-Step Solution: Long Division

Here's how to solve 208 ÷ 5 using long division:

1. Set up the problem: Write 208 inside the long division symbol (⟌) and 5 outside.

   5⟌208
   

2. Divide the hundreds: How many times does 5 go into 2? It doesn't, so we move to the tens place.

3. Divide the tens: How many times does 5 go into 20? It goes in 4 times (5 x 4 = 20). Write the 4 above the 0 in 208.

       4
   5⟌208
   

4. Multiply and subtract: Multiply 4 by 5 (4 x 5 = 20). Write 20 below the 20 in 208. Subtract 20 from 20, leaving 0.

       4
   5⟌208
      20
      --
       0
   

5. Bring down the ones: Bring down the 8 from 208.

       4
   5⟌208
      20
      --
       08
   

6. Divide the ones: How many times does 5 go into 8? It goes in 1 time (5 x 1 = 5). Write the 1 above the 8 in 208.

       41
   5⟌208
      20
      --
       08
   

7. Multiply and subtract: Multiply 1 by 5 (1 x 5 = 5). Write 5 below the 8. Subtract 5 from 8, leaving 3.

       41
   5⟌208
      20
      --
       08
       05
       --
        3
   

8. The answer: The quotient is 41 and the remainder is 3. This can be written as 41 R 3.

Expressing the Answer as a Decimal

You can also express the remainder as a decimal. To do this:

1. Add a decimal point and a zero: Add a decimal point to the quotient (41) and add a zero to the remainder (3).

2. Continue dividing: Divide 30 by 5. 5 goes into 30 six times (5 x 6 = 30).

3. Final answer: Therefore, 208 divided by 5 is 41.6

Conclusion: 208 ÷ 5 = 41 R 3 or 41.6

Whether you express the answer as 41 with a remainder of 3 or as the decimal 41.6 depends on the context of the problem. Both are perfectly valid representations of the result of dividing 208 by 5. Understanding both methods will give you more flexibility when solving division problems.