Math Problem Statement

What is 340 divided by 8?

Solution

The image shows the division 3408\frac{340}{8}, which is a long division problem.

Let's solve it step by step:

  1. 340÷8340 \div 8:
    • 8 goes into 34 four times (because 8×4=328 \times 4 = 32).
    • Subtract 32 from 34 to get 2.
    • Bring down the next digit (0), making it 20.
    • 8 goes into 20 two times (because 8×2=168 \times 2 = 16).
    • Subtract 16 from 20 to get 4.
    • Since there are no more digits to bring down, 4 is the remainder.

Thus, 340÷8=42340 \div 8 = 42 with a remainder of 4, or in decimal form: 42.542.5.

Would you like more details on this division or related concepts? Here are some follow-up questions:

  1. How do you convert a remainder into a decimal when dividing?
  2. Can you describe why 8 goes into 34 exactly 4 times?
  3. What are some strategies for doing long division with larger numbers?
  4. How can you check if your division result is correct?
  5. What is the process to convert a division with a remainder into a mixed number?

Tip: Always check your answer by multiplying the quotient by the divisor and adding the remainder!

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Math Problem Analysis

Mathematical Concepts

Division
Long Division
Remainders

Formulas

Division Formula: Dividend ÷ Divisor = Quotient + Remainder

Theorems

Division Algorithm

Suitable Grade Level

Grades 4-6