1. **State the problem:** Evaluate the expression $5+6\div(7-14)$.\n\n2. **Recall order of operations:** According to PEMDAS/BODMAS, first solve expressions inside parentheses, then division, then addition.\n\n3. **Calculate inside the parentheses:** $7-14 = -7$.\n\n4. **Rewrite the expression:** $5 + 6 \div (-7)$.\n\n5. **Perform the division:** $6 \div (-7) = \frac{6}{-7} = -\frac{6}{7}$.\n\n6. **Rewrite the expression:** $5 + \left(-\frac{6}{7}\right) = 5 - \frac{6}{7}$.\n\n7. **Convert 5 to a fraction with denominator 7:** $5 = \frac{35}{7}$.\n\n8. **Subtract the fractions:** $$\frac{35}{7} - \frac{6}{7} = \frac{35 - 6}{7} = \frac{29}{7}.$$\n\n9. **Final answer:** $\frac{29}{7}$ or approximately $4.1429$.