Evaluate :
`(i) 14625 divide 25 " " (ii) 15120 divide 144`

Explanation

To solve the given problems step by step, we will evaluate each division separately.

### (i) Evaluate 14625 divided by 25

1. **Set up the division**: We write 14625 under the long division symbol and 25 outside.

2. **Divide the first part**: Look at the first two digits of 14625, which is 14. Since 25 cannot go into 14, we take the first three digits, which is 146.

3. **Calculate how many times 25 goes into 146**:
- 25 goes into 146 five times (since 25 x 5 = 125).
- Write 5 above the division line.

4. **Subtract**:
- Subtract 125 from 146, which gives us 21.

5. **Bring down the next digit**: Bring down the next digit (2) from 14625, making it 212.

6. **Divide again**:
- 25 goes into 212 eight times (since 25 x 8 = 200).
- Write 8 above the division line next to 5.

7. **Subtract again**:
- Subtract 200 from 212, which gives us 12.

8. **Bring down the next digit**: Bring down the next digit (5) from 14625, making it 125.

9. **Final division**:
- 25 goes into 125 five times (since 25 x 5 = 125).
- Write 5 above the division line next to 58.

10. **Final subtraction**:
- Subtract 125 from 125, which gives us 0.

Thus, the answer for 14625 divided by 25 is **585**.

### (ii) Evaluate 15120 divided by 144

1. **Set up the division**: We write 15120 under the long division symbol and 144 outside.

2. **Estimate how many times 144 goes into 15120**:
- We can simplify this by dividing both numbers by 12 (since 144 is a multiple of 12).
- 15120 ÷ 12 = 1260 and 144 ÷ 12 = 12.

3. **Now divide 1260 by 12**:
- Set up the division with 1260 under the long division symbol and 12 outside.

4. **Divide the first part**:
- 12 goes into 12 one time (12 x 1 = 12).
- Write 1 above the division line.

5. **Subtract**:
- Subtract 12 from 12, which gives us 0. Bring down the next digit (6) making it 06.

6. **Divide again**:
- 12 goes into 6 zero times. Write 0 above the division line.

7. **Bring down the next digit**: Bring down the next digit (0) making it 60.

8. **Final division**:
- 12 goes into 60 five times (since 12 x 5 = 60).
- Write 5 above the division line.

9. **Final subtraction**:
- Subtract 60 from 60, which gives us 0.

Thus, the answer for 15120 divided by 144 is **105**.

### Summary of Answers:
- (i) 14625 ÷ 25 = **585**
- (ii) 15120 ÷ 144 = **105**