Long Division

Long Multiplication Calculator

Multiply large numbers using the long multiplication column method — with full step-by-step working shown. Each digit is multiplied separately and the partial products are added together.

246 × 37

9102

How it works

  1. Set up long multiplication

    Multiply 246 by each digit of 37 separately, starting from the units digit. Each row shifts one place to the left.

  2. Multiply by 7 (units)

    246×7=1722246 \times 7 = 1722

    246 × 7 = 1722.

    Result:1722
  3. Multiply by 3 (tens digit)

    246×3=738(shifted 1 place left)=7380246 \times 3 = 738\quad \text{(shifted 1 place left)} = 7380

    246 × 3 = 738. As this is the tens digit, the row value is 7380.

    Result:7380
  4. Add the rows together

    1722+7380=91021722 + 7380 = 9102

    Add all the partial products: 1722 + 7380 = 9102.

    Result:9102

The formula

a×b=i(a×di×10i)a \times b = \sum_{i} (a \times d_i \times 10^i)
didᵢEach digit of b (units, tens, hundreds…)
10i10ⁱPlace value — shift each row left by i places

Example substitution

246×37=(246×7)+(246×30)=1722+7380=9102246 \times 37 = (246 \times 7) + (246 \times 30) = 1722 + 7380 = 9102

Multiply by units digit (7), then tens digit (3, shifted left), then add the rows.

Worked examples

Calculate 47 × 23 using long multiplication.

  1. 1
    47 × 3: = 141 (units)
  2. 2
    47 × 20: = 940 (tens, shift left)
  3. 3
    Add rows: 141 + 940 = 1081
Answer: 1081

Calculate 135 × 24 using long multiplication.

  1. 1
    135 × 4: = 540
  2. 2
    135 × 20: = 2700
  3. 3
    Add rows: 540 + 2700 = 3240
Answer: 3240

Calculate 246 × 37 using long multiplication.

  1. 1
    246 × 7: = 1722
  2. 2
    246 × 30: = 7380
  3. 3
    Add rows: 1722 + 7380 = 9102
Answer: 9102

Frequently asked questions

How do you do long multiplication?+

Multiply the top number by each digit of the bottom number in turn, shifting one place left for each row, then add all the rows.

What is 347 × 28?+

347 × 28: 347×8 = 2776; 347×20 = 6940; total = 9716.

What is the grid method?+

Split each number into hundreds, tens and units, multiply each combination in a grid, then add the results.

When do you use long multiplication?+

When multiplying numbers too large for mental arithmetic, especially numbers with 2 or more digits each.

Related calculators