The 2-digit number chosen to divide by 2 1/3 is 42.

Multiply by 3: 3 × 42 = 126

Divide by 7: 126/7 = 18

So 42 divided by 2 1/3 = 18.

See the pattern?

The 2-digit number chosen to divide by 2 1/3 is 73.

Multiply by 3: 3 × 73 = 219

Divide by 7: 219/7 = 31 2/7

So 73 divided by 2 1/3 = 31 2/7.

If the number chosen is divisible by 7, the quotient will be
a whole number. If the number is not divisible by 7, a calculator user
will get a long, inexact decimal, while your answer will be exact.