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When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.Arrange the 4-digit multiplicand and 3-digit multiplier for long multiplication method, multiply the multiplicand by Least Significant Digit (LSD) of multiplier and the product underneath to the line in the way that the Ones’s place value of multiplicand and One’s place value of product of LSD of multiplier and whole multiplicand should be vertically aligned in a straight line. Insert a decimal point in the product so it has the same number of decimal places equal to the total from step 1.

Find the product of multiplicand and 2nd least significant digit of 3-digit multiplier, and write down the product under the earlier product but the One’s place value of product should start from the Ten’s place value of multiplicand. To find the resulting product, find the sum of 3 individual product of multiplier and multiplicand. Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so. Find the product of multiplicand and most significant digit (MSD) of 3-digit multiplier, and write down the product under the earlier product but the One’s place value of product should start from the Hundred’s place value of multiplicand.

Long Multiplication with Decimals

Long multiplication with decimals using the standard algorithm has a few simple additional rules to follow. Long multiplication means you're doing multiplication by hand. The traditional method, or Standard Algorithm, involves multiplying numbers and lining up results according to place value. These are the steps to do long multiplication by hand: