what is the remainder of 46 divided by 8

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30-03-2025

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Finding the remainder after division is a fundamental concept in arithmetic. This article will clearly explain how to calculate the remainder when 46 is divided by 8. We'll break down the process step-by-step, making it easy to understand, even for those new to division.

Understanding Remainders

Before we dive into the specific problem, let's quickly define what a remainder is. When you divide one number (the dividend) by another (the divisor), the result is a quotient and sometimes a remainder. The quotient represents how many times the divisor goes into the dividend evenly. The remainder is the amount left over after the division.

For example, if you divide 10 by 3, the quotient is 3 (because 3 x 3 = 9), and the remainder is 1 (because 10 - 9 = 1).

Calculating the Remainder of 46 Divided by 8

Now, let's tackle the problem: What is the remainder when 46 is divided by 8?

Step 1: Perform the Division

First, we perform the division of 46 by 8. You can do this using long division, a calculator, or even mental math if you're comfortable.

46 ÷ 8 = 5 with a remainder

Step 2: Find the Quotient

The quotient is the whole number result of the division. In this case, 8 goes into 46 five times (8 x 5 = 40).

Step 3: Calculate the Remainder

The remainder is the difference between the dividend (46) and the product of the quotient (5) and the divisor (8).

46 - (8 x 5) = 46 - 40 = 6

Therefore, the remainder when 46 is divided by 8 is 6.

Verifying the Result

To double-check our answer, we can use the following equation, which is a fundamental property of division:

Dividend = (Quotient x Divisor) + Remainder

Plugging in our values:

46 = (5 x 8) + 6

46 = 40 + 6

46 = 46

The equation holds true, confirming that our remainder of 6 is correct.

Conclusion: The Remainder of 46 Divided by 8 is 6

We've successfully determined that the remainder when 46 is divided by 8 is 6. This step-by-step approach should help you confidently solve similar remainder problems in the future. Remember to always perform the division, find the quotient, and then calculate the remainder using the difference between the dividend and the product of the quotient and divisor.