How Do You Divide 45 by 4?

Division helps answer how many times one number fits into another and what (if anything) is left over.

When you ask what is 45 divided by 4, the first number ($45$) is the dividend and the second number ($4$) is the divisor.

Once you’ve identified which is which, you can proceed with a method such as short division.

Short Division Method

Short division is a process where the divisor is divided into each digit of the dividend from left to right. The result of each division (called the quotient) is written above, and if there’s a remainder, it’s carried over to the next digit.

Since $4 < 10$ and $45 > 40$, short division is an efficient choice here.

Step-by-Step Division: $45 \div 4$

Step 1: Divide 4 into the first digit

How many times does $4$ go into $4$?

$$ 4 \div 4 = 1 $$

So we write $1$ above the $4$. No remainder.

Step 2: Divide 4 into the next digit (5)

How many times does $4$ go into $5$?

$$ 5 \div 4 = 1 \text{ remainder } 1 $$

We write $1$ above the $5$ and carry the remainder $1$.

Final Answer

We’ve reached the end of the dividend, and have a remainder of $1$. So:

$$ \boxed{45 \div 4 = 11 \text{ r }1} $$

Check Your Answer

Multiply the divisor and quotient, then add the remainder:

$$ 4 \times 11 = 44 \ 44 + 1 = 45 $$

The result matches the original dividend, so the answer is correct.

Summary

  • Dividend: $45$
  • Divisor: $4$
  • Quotient: $11$
  • Remainder: $1$

Final result:

$$ \boxed{45 \div 4 = 11 \text{ r }1} $$

Short division provides a quick and reliable way to divide whole numbers when the divisor is small.