Note the hundredth place value (underlined and bolded):
9.3<u>7</u>5
Look at the number to the right of the hundredth place value. It is a 5. Because you round up if the number is 5 or greater, you round up in this case (you round down if it is 4 or less).
Division is repeated subtraction, just like multiplication is repeated addition. If you divide 50 by 10, you get 5. This is also the question: How many times do you have to subtract 10 from 50 to get 0?
If you had to round to the nearest tenth, 0.89 would round to 0.9. 0.74 would round down to 0.7. 0.85 would also round up to 0.9, which leaves the last answer, 9.77 to be rounded to 0.8. Hope this helps