➖ 竖式减法计算器（任意位数、小数、逐位借位步骤）Long Subtraction Calculator (Any Number of Digits, Decimals, Borrowing Step by Step)
用竖式计算两个数相减：支持任意位数的整数和小数（精确计算，不经过浮点），显示竖式排列、每一位的借位，以及结果为负时的处理。本地处理。Long (column) subtraction of two numbers: integers and decimals of any length, computed exactly without floating point. Shows the column layout, each borrow and how a negative result is handled. Processed locally.
使用说明与常见问题How-to & FAQ
「竖式减法计算器（任意位数、小数、逐位借位步骤）」是什么？What is the Long Subtraction Calculator (Any Number of Digits, Decimals, Borrowing Step by Step) tool?
用竖式计算两个数相减：支持任意位数的整数和小数（精确计算，不经过浮点），显示竖式排列、每一位的借位，以及结果为负时的处理。本地处理。Long (column) subtraction of two numbers: integers and decimals of any length, computed exactly without floating point. Shows the column layout, each borrow and how a negative result is handled. Processed locally.
如何使用「竖式减法计算器（任意位数、小数、逐位借位步骤）」？How do I use the Long Subtraction Calculator (Any Number of Digits, Decimals, Borrowing Step by Step) tool?
在「竖式减法计算器（任意位数、小数、逐位借位步骤）」中，填写「被减数」、「减数」等参数，结果会随输入实时计算并显示在下方。In the Long Subtraction Calculator (Any Number of Digits, Decimals, Borrowing Step by Step): Fill in "Minuend", "Subtrahend"; results are recalculated instantly as you type.
竖式减法怎么借位？How does borrowing work in long subtraction?
从个位开始逐位相减；如果上面的数字比下面小，就向左边一位借 1，当前位加 10 再减，左边那一位相应减 1。例如 1000 − 1：个位 0 不够减，连续向左借位，得到 999。Subtract column by column from the right. If the top digit is smaller, borrow 1 from the next column to the left: add 10 to the current digit and reduce the left digit by 1. For 1000 − 1 the borrow ripples left and gives 999.
能算很大的数吗？Can it handle very large numbers?
可以，整数部分最多 200 位、小数最多 50 位，按逐位精确计算，不会出现浮点误差。Yes, up to 200 integer digits and 50 decimal places, computed digit by digit with no floating-point error.
能举个计算实例吗？Can you show a worked example?
例如在「竖式减法计算器（任意位数、小数、逐位借位步骤）」中填 被减数 = 1000.5，减数 = 36.75，结果区显示：结果：963.75；竖式： 1000.50 − 36.75 ──────── 963.75；逐位计算（从右到左）：小数第 2 位：0 + 10（借入） − 5 = 5；小数第 1 位：5 − 1（借出） + 10（借入） − 7 = 7；第 1 位（整数）：0 − 1（借出） + 10（借入） − 6 = 3；第 2 位（整数）：0 − 1（借出） + 10（借入） − 3 = 6；第 3…For example, entering Minuend = 1000.5, Subtrahend = 36.75 in the Long Subtraction Calculator (Any Number of Digits, Decimals, Borrowing Step by Step) gives: Result: 963.75; Column layout: 1000.50 − 36.75 ──────── 963.75; Column by column (right to left): decimal place 2: 0 + 10 (borrowed) − 5 = 5; decimal place 1: 5 − 1 (lent) + 10 (borrowed) − 7 = 7; integer place 1: 0 − 1 (lent) + 10 (borrowed) − 6 = 3; integer…
有哪些选项可以调整？What options can I adjust?
「竖式减法计算器（任意位数、小数、逐位借位步骤）」的设置：「被减数」默认 1000.5；「减数」默认 36.75。每次生成结果都按当前设置处理。Settings in the Long Subtraction Calculator (Any Number of Digits, Decimals, Borrowing Step by Step) — "Minuend" default 1000.5; "Subtrahend" default 36.75. The result always uses the current settings.
「竖式减法计算器（任意位数、小数、逐位借位步骤）」免费吗？需要注册吗？Is the Long Subtraction Calculator (Any Number of Digits, Decimals, Borrowing Step by Step) free? Do I need an account?
「竖式减法计算器（任意位数、小数、逐位借位步骤）」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 Long Subtraction Calculator (Any Number of Digits, Decimals, Borrowing Step by Step) is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.