Number Multiplication and Division Calculator

To multiply large numbers, you can use the standard multiplication algorithm. Write the numbers vertically, multiply each digit of the bottom number by each digit of the top number, and add the results. Our calculator shows you this step-by-step process to help you understand how multiplication works.

When you divide two numbers, the quotient is the whole number result of the division, while the remainder is what’s left over after dividing as evenly as possible. For example, when dividing 17 by 5, the quotient is 3 and the remainder is 2, because 5 × 3 = 15, and 17 – 15 = 2.

To divide by decimals, you can multiply both the dividend and divisor by a power of 10 to make the divisor a whole number. Then perform the division as usual. For example, to divide 12.5 by 0.5, multiply both numbers by 10 to get 125 ÷ 5 = 25. Our calculator handles this automatically and shows you the steps.

The order of operations (PEMDAS) is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Multiplication and division have the same precedence and are performed from left to right in an expression.

You can check your division answer by multiplying the quotient by the divisor and adding the remainder. The result should equal the original dividend. For example, if you divided 17 by 5 to get a quotient of 3 and remainder of 2, you can check by calculating 5 × 3 + 2 = 17, which matches the original dividend.