How Do You Divide 42 by 3?
Division helps answer how many times a number fits into another and if there is anything left over.
When you ask what is 42 divided by 3, the first number ($42$) is the dividend, and the second number ($3$) is the divisor.
Once you know which is which, you can calculate the answer using the short division method.
Short Division Method
Short division is a technique where the divisor is applied to each digit of the dividend one at a time. The quotient is written above and any remainder is carried forward.
Since $3 < 10$ and $42 > 30$, this method is suitable.
Division of 3 Into 42: Step-by-Step
Step 1: How many times does $3$ go into $4$?
$$ 4 \div 3 = 1 \text{ remainder } 1 $$
Write $1$ above the $4$, and carry over the $1$ to form $12$.
Step 2: How many times does $3$ go into $12$?
$$ 12 \div 3 = 4 $$
Write $4$ above the $2$.
So the final answer is:
$$ \boxed{14} $$
Check Your Answer
Multiply the divisor by the quotient:
$$ 3 \times 14 = 42 $$
Since the result matches the original dividend, the answer is correct.
Summary
- Dividend: $42$
- Divisor: $3$
- Quotient: $14$
- Remainder: $0$
Final result:
$$ \boxed{42 \div 3 = 14} $$
Short division provides a clear and accurate way to divide small numbers into larger ones.