What is the remainder when 123456 is divided by 11? (2023)

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Question: What is the remainder when 123456 is divided by 11? (2023)

Options:

Correct Answer: 0

Exam Year: 2023

Solution:

123456 mod 11 = 0, as 123456 is divisible by 11.

What is the remainder when 123456 is divided by 11? (2023)

What is the remainder when 123456 is divided by 11? (2023)

Step 1: Understand that we want to find the remainder when 123456 is divided by 11.
Step 2: Use the division method to see how many times 11 fits into 123456.
Step 3: Calculate 123456 divided by 11, which gives us a quotient and a remainder.
Step 4: The quotient is 11223 and the remainder is what we are looking for.
Step 5: To find the remainder, we can also use the formula: Remainder = 123456 - (11 * Quotient).
Step 6: Calculate 11 * 11223 = 123453.
Step 7: Now, subtract this from 123456: 123456 - 123453 = 3.
Step 8: Since we are looking for the remainder, we check if 3 is less than 11, which it is.
Step 9: Therefore, the remainder when 123456 is divided by 11 is 3.

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