$$问＝{问}_0+我{问}_1+j{问}_2+k{问}_{3.}$$

$$r＝r_0+我r_1+j{r}_2+k{r}_{3.}．$$

$$t＝\frac{问}{r}＝t_0+我t_1+j{t}_2+k{t}_{3.}．$$

$$\begin{array}{l}{t}_0＝\frac{（r_0{问}_0+r_1{问}_1+r_2{问}_2+r_{3.}{问}_{3.}）}{r_0^2+r_1^2+r_2^2+r_{3.}^2}\\ t_1＝\frac{（r_0{问}_1-r_1{问}_0-r_2{问}_{3.}+r_{3.}{问}_2）}{r_0^2+r_1^2+r_2^2+r_{3.}^2}\\ t_2＝\frac{（r_0{问}_2+r_1{问}_{3.}-r_2{问}_0-r_{3.}{问}_1）}{r_0^2+r_1^2+r_2^2+r_{3.}^2}\\ t_{3.}＝\frac{（r_0{问}_{3.}-r_1{问}_2+r_2{问}_1-r_{3.}{问}_0）}{r_0^2+r_1^2+r_2^2+r_{3.}^2}．\end{array}$$