1. **State the problem:** We have a tank holding 5075 litres of water. Each container holds 6 \frac{1}{4} litres. We need to find how many such containers can be filled from the tank. 2. **Convert mixed fraction to improper fraction:** \[6 \frac{1}{4} = \frac{25}{4} \text{ litres} \] 3. **Use the formula:** \[\text{Number of containers} = \frac{\text{Total volume in tank}}{\text{Volume per container}}\] 4. **Substitute values:** \[\text{Number of containers} = \frac{5075}{\frac{25}{4}} \] 5. **Divide by a fraction by multiplying by its reciprocal:** \[\frac{5075}{\frac{25}{4}} = 5075 \times \frac{4}{25} \] 6. **Simplify:** \[5075 \times \frac{4}{25} = \frac{5075 \times 4}{25} \] 7. **Calculate numerator and denominator:** \[5075 \times 4 = 20300 \] 8. **Divide:** \[\frac{20300}{25} = 812 \] 9. **Interpretation:** You can fill 812 containers of 6 \frac{1}{4} litres each from the tank. **Final answer:** \[\boxed{812}\]