How Do You Divide 40 by 3?
Division helps answer how many times a number fits into another number, and if there is anything left over.
When you ask what is 40 divided by 3, the first number ($40$) is the dividend, and the second number ($3$) is the divisor.
Once you know which number is the dividend and which is the divisor, you can calculate the answer using the short division method.
Short Division Method
Short division is a technique where the divisor is divided into each digit of the dividend one at a time, writing the quotient above and carrying any remainders forward.
This method is best when the divisor is a small number (less than $10$) and the dividend is larger than $10 \times$ the divisor. Since $3 < 10$ and $40 > 30$, short division is suitable here.
Division of 3 Into 40: 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 the next digit, forming $10$.
Step 2: How many times does $3$ go into $10$?
$$ 10 \div 3 = 3 \text{ remainder } 1 $$
Write $3$ above the $0$, and the remainder is $1$.
So the final answer is:
$$ \boxed{13 \text{ r } 1} $$
Check Your Answer
Multiply the divisor by the quotient:
$$ 3 \times 13 = 39 $$
Now add the remainder:
$$ 39 + 1 = 40 $$
Since the result matches the original dividend, the answer is correct.
Summary
- Dividend: $40$
- Divisor: $3$
- Quotient: $13$
- Remainder: $1$
Final result:
$$ \boxed{40 \div 3 = 13 \text{ r } 1} $$
Short division gives you a fast and accurate way to divide small numbers into larger ones.