通过这个式子:
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/fd039245d688d43fbc31357f7e1ed21b0ff43ba6?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
可以看出除数是个三位数,这个三位数与8的乘积也是三位数.
但是与商的百位上与个位上的数字相乘是四位数,说明商的百位上和个位上的数比8大,所以只能是9.
由111×9=999商是三位数,可知除数最小应是112.
112×9=1008;
112×8=896.
这时候可以填上这些方格(如图):
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/e4dde71190ef76c650265fa69e16fdfaae516743?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
这时我们用逆推的方法:可知
除号下方第五行方格的数(也就是:
被除数-除数×8)必定是1008.
这时可以确定:被除数的个位是:8.(如图)
除号下方第三行方格的数(求商的十位数时的被除数)是:100+896=996.(如图)
996中6是被除数十位上的6.因此被除数十位上的数字是:6.(如图)
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/b151f8198618367aa312db502d738bd4b21ce5a0?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
而被除数的前四位数是:1008+99=1107.(如图)
最后得到答案:(如下图)
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/fcfaaf51f3deb48f72f20553f31f3a292cf578a0?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)