What is the remainder of 46 divided by 8?
Understand the Problem
The question is asking for the remainder when the number 46 is divided by 8. To solve it, we will perform the division and find the remainder.
Answer
The remainder is $6$.
Answer for screen readers
The remainder when 46 is divided by 8 is 6.
Steps to Solve
- Perform the Division
To find the remainder when 46 is divided by 8, we perform the division.
$$ 46 \div 8 = 5.75 $$
- Identify the Whole Number
Next, we need to take the whole number part of 5.75, which is 5. This tells us how many times 8 can fit into 46 without exceeding it.
- Multiply and Calculate the Product
Now, we multiply the whole number by 8 to find the largest multiple of 8 that does not exceed 46.
$$ 5 \times 8 = 40 $$
- Find the Remainder
Finally, subtract this product from 46 to find the remainder.
$$ 46 - 40 = 6 $$
The remainder when 46 is divided by 8 is 6.
The remainder when 46 is divided by 8 is 6.
More Information
When dividing integers, the remainder is what is left after subtracting the largest possible multiple of the divisor from the dividend. In this case, the remainder tells us how much is left over after dividing 46 by 8.
Tips
- Miscalculating the division can lead to an incorrect quotient. Always ensure to take the integer part of the division.
- Forgetting to subtract the product from the original number can lead to miscalculating the remainder.
