4.5 divided by 59 times 555 equals 42.330508847

That's right, unless you read the problem differently.

To verify the given equation, let's solve it step-by-step:

1. Start by dividing 4.5 by 59:
4.5 ÷ 59 = 0.076271186

2. Next, multiply the result from step 1 by 555:
0.076271186 × 555 = 42.330508847

Therefore, the result of dividing 4.5 by 59 and then multiplying the quotient by 555 is indeed approximately 42.330508847.