43 tens divided by 6

Breiz Heurope

2 min read

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11-03-2025

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Dividing 43 tens by 6 might seem daunting at first, but breaking it down into smaller, manageable steps makes it easy to solve. This article provides a clear, step-by-step explanation of the process, using different methods to ensure you understand the concept thoroughly.

Understanding the Problem

The problem "43 tens divided by 6" can be rewritten as 430 divided by 6 (since 43 tens equals 430). Our goal is to find out how many times 6 goes into 430 and what the remainder is, if any.

Method 1: Long Division

Long division is a classic method for tackling division problems. Here's how it works for 430 divided by 6:

1. Set up the problem: Write the problem as 6⟌430.

2. Divide the tens: How many times does 6 go into 43? It goes in 7 times (7 x 6 = 42). Write the 7 above the 3 in 430.

3. Multiply and subtract: Multiply 7 by 6 (42) and write it below the 43. Subtract 42 from 43, leaving a remainder of 1.

4. Bring down the ones: Bring down the 0 from 430, placing it next to the remainder 1 to make 10.

5. Divide the ones: How many times does 6 go into 10? It goes in 1 time (1 x 6 = 6). Write the 1 above the 0 in 430.

6. Multiply and subtract: Multiply 1 by 6 (6) and write it below the 10. Subtract 6 from 10, leaving a remainder of 4.

7. Final answer: The quotient is 71, and the remainder is 4. Therefore, 430 divided by 6 is 71 with a remainder of 4. This can also be expressed as 71 and ⁴⁄₆ (which simplifies to 71 and ⅔).

Method 2: Repeated Subtraction

This method involves repeatedly subtracting the divisor (6) from the dividend (430) until you reach a number less than the divisor.

1. Start subtracting: Subtract 6 from 430 repeatedly: 430 - 6 = 424; 424 - 6 = 418; and so on.

2. Count the subtractions: Keep track of how many times you subtract 6.

3. Remainder: Once you reach a number less than 6, that is your remainder. The number of times you subtracted 6 is your quotient. This method will also result in a quotient of 71 and a remainder of 4.

Practical Application

Understanding division is crucial in many real-world scenarios. Imagine you have 430 apples and want to divide them equally among 6 friends. Using either of the methods above, you would discover that each friend gets 71 apples, and you have 4 apples left over.

Conclusion

Dividing 43 tens (430) by 6 results in a quotient of 71 with a remainder of 4. Both long division and repeated subtraction are effective methods for solving this type of problem. Understanding these methods will help you tackle similar division problems with confidence. Remember to always check your work!