Skip to main content
Sublime Maths Worksheets

Long Multiplication Calculator

The Long Multiplication will appear here...

How to Use This Calculator

  1. Enter the Multiplicand
  2. Enter the Multiplier
  3. The multiplication is calculated instantly
  4. View the working in:
    • Compact format
    • Grid format

The calculation updates in real time as you type.

Key Features of This Tool

  • Instant super-fast real-time calculation
  • Accepts decimal numbers as inputs
  • Step-by-step multiplication working
  • Compact and Grid format presentations
  • Shareable calculation links
  • Mobile-friendly and fast loading
  • Designed for students, teachers, and practice

What is Long Multiplication?

Long multiplication is a step-by-step method used to multiply larger numbers by breaking the calculation into smaller, manageable parts.

It is commonly used when multiplying:

  • Multi-digit integers
  • Decimal numbers
  • Larger values that are difficult to calculate mentally

In Long Multiplication, each digit of the multiplier is multiplied separately with the multiplicand. The partial products are then added together to get the final answer.

This method helps students understand place values and the structure of multiplication clearly.

Examples: Long Multiplication

1) Multiply 234 by 56

2
3
4
✕
5
6
1
4
0
4
1
1
7
0
*
1
3
1
0
4

2) Multiply 52846 by 7564

5
2
8
4
6
✕
7
5
6
4
2
1
1
3
8
4
3
1
7
0
7
6
*
2
6
4
2
3
0
*
*
3
6
9
9
2
2
*
*
*
3
9
9
7
2
7
1
4
4

Decimal Long Multiplication

Decimal long multiplication works almost the same way as multiplying whole numbers. The only extra step is placing the decimal point correctly in the final answer.

Rules for Decimal Long Multiplication

  1. Ignore the decimal points temporarily: Multiply the numbers as if they were whole numbers.
  2. Count the total decimal places: Count how many digits appear after the decimal point in both numbers combined.
  3. Place the decimal point in the product: Starting from the right side of the answer, move the decimal point left by the total number of decimal places counted earlier.

Examples: Decimal Long Multiplication

1) Multiply 354.28 by 7.53

Ignore the decimal points temporarily:

3
5
4
2
8
✕
7
5
3
1
0
6
2
8
4
1
7
7
1
4
0
*
2
4
7
9
9
6
*
*
2
6
6
7
7
2
8
4

Count the total decimal places: The count is 4

Place the decimal point in the product: 2667.7284

Multiply normally first. Handle the decimal point after completing the multiplication.

2) Multiply 752.864 by 6.47

Ignore the decimal points temporarily:

7
5
2
8
6
4
✕
6
4
7
5
2
7
0
0
4
8
3
0
1
1
4
5
6
*
4
5
1
7
1
8
4
*
*
4
8
7
1
0
3
0
0
8

Count the total decimal places: The count is 5

Place the decimal point in the product: 4871.03008

Other Names for Long Multiplication

Long multiplication is also commonly known as:

  • Column Multiplication
  • Standard Multiplication Method
  • Vertical Multiplication Method

In schools, the term Column Multiplication is very commonly used because the numbers are arranged vertically in columns according to place value.