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数学

即时、私密且免费

长除法计算器.

将两个整数相除,查看商、余数,以及完整写出的长除法演算的每一步。

此计算器尚未完全翻译——部分文本以英文显示。

设备端计算无需注册
01

输入数值

输入时结果会更新。

使用方法

长除法每次处理一位数字:把下一位数字拿下来,看看除数能被容纳多少次,做减法,并将余数带入下一列。

当被除数无法容纳除数时,商的该位数字为0,且这个0仍必须写出来——这是学生最常漏掉数字的地方。

对于负数,商会向零方向截断,余数的符号与被除数一致,因此“除数 × 商 + 余数”始终等于被除数。

Cite this calculator

Canonical URL: https://mathify.one/zh/math/long-division

Cite as: Mathify. (n.d.). 长除法计算器. https://mathify.one/zh/math/long-division

Use Cases

Check homework or practice problems

Verify your manual long division work by comparing your steps and results with the calculator's detailed tableau.

Example: Divide 847 by 7 and see each bring-down and subtraction.

Understand the long division process

Learn how long division works by observing the step-by-step breakdown, which clarifies each stage of the division.

Example: Follow along with 1234 ÷ 12 to see how the quotient and remainder are derived.

Frequently Asked Questions

How does the long division calculator show the steps?
The calculator displays a step-by-step long division tableau. It shows each bring-down and subtraction step, making it easy to follow the division process from start to finish.
What does the calculator output include?
It provides the quotient, the remainder, the decimal answer (if applicable), and a detailed step-by-step long division tableau. This helps you understand both the integer and decimal results.
Can I use this calculator for any two whole numbers?
Yes, you can divide any two whole numbers. The calculator will handle the division and show the quotient, remainder, and decimal answer, along with the step-by-step process.

Tips & Common Mistakes

Tips

  • Ensure both numbers are whole numbers; the calculator is designed for integer division.
  • Use the step-by-step tableau to trace each bring-down and subtraction, which reinforces your understanding.
  • Check the decimal answer to see the exact result when the division does not end evenly.
  • Use the remainder to verify your manual calculations or to understand non-terminating divisions.

Common Mistakes to Avoid

  • Forgetting that the divisor cannot be zero; division by zero is undefined.
  • Misinterpreting the remainder as the final answer when the decimal answer is also provided.
  • Skipping the step-by-step tableau and only looking at the final quotient, missing the learning opportunity.

Last updated: August 13, 2026