Long Division & Multiplication Calculator
Generates step-by-step visual grids for long division and multiplication. Ideal for students and teachers checking manual calculation layouts.
About
Manual arithmetic requires specific spatial organization. Errors often stem from misalignment of columns or incorrect carry-over notation rather than simple calculation mistakes. This tool generates the exact vertical layout used in standard educational curricula for long division and long multiplication.
It breaks down the process digit-by-digit. For division, it visualizes the quotient, the product of the divisor and the current digit, the subtraction step, and the carry-down process. For multiplication, it displays partial products and the final summation. This is useful for verifying homework or generating examples for worksheets.
Formulas
The algorithm relies on positional notation. For a number N represented by digits d:
In long division of A ÷ B, we find integers Q (Quotient) and R (Remainder) such that:
Reference Data
| Operation | Terms | Symbol | Description |
|---|---|---|---|
| Addition | Addend + Addend | + | Summation of values. |
| Subtraction | Minuend − Subtrahend | − | Difference between values. |
| Multiplication | Multiplicand × Multiplier | × | Scaling one number by another. |
| Division | Dividend ÷ Divisor | ÷ | Splitting into equal parts. |
| Remainder | r | mod | Leftover value in integer division. |