* Understand eighths: One eighth of an inch is represented as 1/8.

* Convert to a fraction: 0.787 inches is equivalent to 787/1000 of an inch.

* Find the equivalent: We want to know how many 1/8's fit into 787/1000. To do this, we can divide: (787/1000) / (1/8)

* Dividing by a fraction is the same as multiplying by its reciprocal: (787/1000) * (8/1) = 6296/1000

* Simplify: 6296/1000 simplifies to 6.296

Therefore, there are approximately 6.296 eighths of an inch in 0.787 inches.