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When a two-component mixture of immiscible fluids is stirred, the fluids aresplit into smaller domains with more vigorous stirring. We numericallyinvestigate the sizes of such domains in a fully-developed turbulent state of atwo-component superfluid stirred with energy input rate $\epsilon$. For thestrongly immiscible condition, the typical domain size is shown to beproportional to $\epsilon^{-2/5}$, as predicted by the Kolmogorov-Hinze theoryin classical fluids. For the weakly immiscible condition, quantum effectsbecome pronounced and the power changes from $-2 / 5$ to $-1 / 4$.

Kolmogorov-Hinze scales in turbulent superfluids