1. **Estimate 466 ÷ 3** Estimate 466 to a number divisible by 3 closely: 465. Calculate $$\frac{465}{3} = 155$$. So, estimated quotient is 155. 2. **Estimate 693 ÷ 4** Estimate 693 to a number close and divisible by 4: 692 (4×173 = 692). Calculate $$\frac{692}{4} = 173$$. Estimated quotient is 173. 3. **Estimate 295 ÷ 6** Estimate 295 close to divisible by 6: 300. Calculate $$\frac{300}{6} = 50$$. Estimated quotient is 50. 4. **Estimate 457 ÷ 5** Estimate 457 close to divisible by 5: 455. Calculate $$\frac{455}{5} = 91$$. Estimated quotient is 91. 5. **Estimate 284 ÷ 8** Estimate 284 close to divisible by 8: 280. Calculate $$\frac{280}{8} = 35$$. Estimated quotient is 35. 6. **Estimate 367 ÷ 7** Estimate 367 close to divisible by 7: 364. Calculate $$\frac{364}{7} = 52$$. Estimated quotient is 52. 7. **Estimate 714 ÷ 7** Estimate 714 close to divisible by 7 exactly. Calculate $$\frac{714}{7} = 102$$. Estimated quotient is 102. 8. **Estimate 657 ÷ 9** Estimate 657 close to divisible by 9: 648. Calculate $$\frac{648}{9} = 72$$. Estimated quotient is 72. 9. **Estimate 225 ÷ 6** Estimate 225 close to divisible by 6: 228. Calculate $$\frac{228}{6} = 38$$. Estimated quotient is 38. 10. **Estimate 824 ÷ 9** Estimate 824 close to divisible by 9: 819. Calculate $$\frac{819}{9} = 91$$. Estimated quotient is 91. Each estimation rounds the dividend to a nearby number divisible by the divisor for easier mental calculation.