What is 18 divided by 3 using long division?
The Correct Answer and Explanation is:
To solve (18 \div 3) using long division, follow these steps:
Step 1: Set up the problem
Write 18 inside the long division box (the dividend), and 3 outside (the divisor).
[
\begin{array}{r|l}
3 & 18 \
\end{array}
]
Step 2: Divide the first digit
Look at the first digit of the dividend, which is 1. Now, ask how many times 3 can fit into 1. Since 3 is greater than 1, we cannot divide 1 by 3. So, we move to the next digit in the dividend.
Step 3: Divide the two-digit number
Now, look at the first two digits of the dividend, which is 18. Ask how many times 3 can fit into 18. We know that 3 goes into 18 exactly 6 times because:
[
3 \times 6 = 18
]
So, the quotient is 6, and we write 6 above the division bar, directly above the 8 of the dividend.
[
\begin{array}{r|l}
3 & 18 \
& \underline{18} \
& 6 \
\end{array}
]
Step 4: Multiply and subtract
Next, multiply the divisor (3) by the quotient (6), which gives 18. Write 18 beneath the dividend. Then subtract 18 from 18:
[
18 – 18 = 0
]
Step 5: Final result
There are no more digits left to bring down, and the remainder is 0. Therefore, the division is complete.
The quotient is 6, and the final answer to (18 \div 3) is:
[
\boxed{6}
]
Explanation
Long division is a methodical process of breaking down the division problem into smaller, manageable steps. In this case, we first determined that 3 cannot go into 1, then moved to 18, where 3 divides perfectly 6 times. The subtraction step ensures that there are no leftover remainders, confirming that the answer is exact and correct.