math/概念/除法.md
2023-03-24 09:51:26 +08:00

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# 除法
> 除法可以看成是「乘法的反运算」,也可以理解为「重复的减法」
$\forall (a,b,y)\in\mathbb{N}, x\in \Bbb{Z^+}, {y}\div{x}={a}\cdots{b} \iff y={a}{x}+b$
$y$称为<u>被除数</u>$x$称为<u>除数</u>$a$称为<u></u>$b$称为<u>余数</u>
当$b=0$时称$y$整除$x$,此时有$y\div{x}=a$,或称$y$是$x$的倍数,$y=ax$。
计算大数除法使用长除法(直式除法)
![长除法](../图片/长除法.gif)