➗ 商和余数Quotient and Remainder Calculator

使用说明与常见问题How-to & FAQ

「商和余数」是什么？What is the Quotient and Remainder Calculator tool?

整数除法：商 = trunc(被除数 ÷ 除数)，余数 = 被除数 - 商 × 除数。可设置「被除数」、「除数」。Integer division: quotient = trunc(dividend ÷ divisor), remainder = dividend - quotient × divisor. Settings: Dividend, Divisor.

如何使用「商和余数」？How do I use the Quotient and Remainder Calculator tool?

填写被除数和除数，即可得到整数商和余数。结果会随输入实时更新。Enter the dividend and the divisor to get the integer quotient and the remainder. The result updates as you type.

负号？Negatives?

商向 0 截断（与 JavaScript 一致）。Quotient truncates toward 0 (same as JavaScript).

能举个计算实例吗？Can you show a worked example?

例如在「商和余数」中填 被除数 = 17，除数 = 5，结果区显示：商：3；余数：2；验证：17 = 3 × 5 + 2For example, entering Dividend = 17, Divisor = 5 in the Quotient and Remainder Calculator gives: Quotient: 3; Remainder: 2; Check: 17 = 3 × 5 + 2

哪些输入会被检查？Which inputs are validated?

「商和余数」会检查这些输入——「被除数」：必须填写，不能为负数；「除数」：必须填写；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Quotient and Remainder Calculator checks its inputs — "Dividend": required, cannot be negative; "Divisor": required; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.

有哪些选项可以调整？What options can I adjust?

「商和余数」的设置：「被除数」默认 17；「除数」默认 5。每次生成结果都按当前设置处理。Settings in the Quotient and Remainder Calculator — "Dividend" default 17; "Divisor" default 5. The result always uses the current settings.

计算精度如何？How precise are the results?

「商和余数」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Quotient and Remainder Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「商和余数」免费吗？需要注册吗？Is the Quotient and Remainder Calculator free? Do I need an account?

「商和余数」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Quotient and Remainder Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.