1. **State the problem:** We need to divide a time duration of 6 weeks and 2 days by 4. 2. **Convert all units to a single unit:** Let's convert weeks and days into days only. - 1 week = 7 days - So, 6 weeks = $6 \times 7 = 42$ days - Total days = $42 + 2 = 44$ days 3. **Divide the total days by 4:** $$\frac{44}{4} = 11$$ days 4. **Convert the result back to weeks and days:** - 1 week = 7 days - Number of weeks in 11 days = $\lfloor \frac{11}{7} \rfloor = 1$ week - Remaining days = $11 - 7 = 4$ days 5. **Final answer:** $$1 \text{ week and } 4 \text{ days}$$ This means 6 weeks 2 days divided by 4 equals 1 week and 4 days.