Answer:
The first country were industrialization spread outside of Europe was the United States, where large scale industry began to emerge in the Northeast and Midwest in the early 19th century.
Other countries outside of Europe that followed (much later) were Australia and New Zealand, with smaller-scale industry boosted by the British Crown (these two countries were still part of the United Kingdom). Canada went through a similar process.
In Asia, Japan was the first country to industrialize, in the mid-to-late 19th century, thanks to the reforms of Emperor Meiji, which transformed Japan from a feudal society ruled by feudal lords and samurais, to an industrialized nation not much different from European Powers.
In Latin America, only Argentina, Uruguay and Mexico had some significant industry by the end of the 19th century.
