Let's solve the division problems using long division, step by step.
Problem 1: 748 : 2
- Divide 7 by 2: The largest multiple of 2 that is less than or equal to 7 is 3 (since 2 * 3 = 6). Write 3 above the 7.
- Multiply 3 by 2: 3 * 2 = 6. Write 6 below the 7.
- Subtract 6 from 7: 7 - 6 = 1. Write 1 below the 6.
- Bring down the next digit (4): Write the 4 next to the 1, making it 14.
- Divide 14 by 2: 14 / 2 = 7. Write 7 above the 4.
- Multiply 7 by 2: 7 * 2 = 14. Write 14 below the 14.
- Subtract 14 from 14: 14 - 14 = 0. Write 0 below the 14.
- Bring down the next digit (8): Write the 8 next to the 0, making it 8.
- Divide 8 by 2: 8 / 2 = 4. Write 4 above the 8.
- Multiply 4 by 2: 4 * 2 = 8. Write 8 below the 8.
- Subtract 8 from 8: 8 - 8 = 0. Write 0 below the 8.
So, 748 / 2 = 374
Problem 2: 856 : 4
- Divide 8 by 4: The largest multiple of 4 that is less than or equal to 8 is 2 (since 4 * 2 = 8). Write 2 above the 8.
- Multiply 2 by 4: 2 * 4 = 8. Write 8 below the 8.
- Subtract 8 from 8: 8 - 8 = 0. Write 0 below the 8.
- Bring down the next digit (5): Write the 5 next to the 0, making it 5.
- Divide 5 by 4: The largest multiple of 4 that is less than or equal to 5 is 1 (since 4 * 1 = 4). Write 1 above the 5.
- Multiply 1 by 4: 1 * 4 = 4. Write 4 below the 5.
- Subtract 4 from 5: 5 - 4 = 1. Write 1 below the 4.
- Bring down the next digit (6): Write the 6 next to the 1, making it 16.
- Divide 16 by 4: 16 / 4 = 4. Write 4 above the 6.
- Multiply 4 by 4: 4 * 4 = 16. Write 16 below the 16.
- Subtract 16 from 16: 16 - 16 = 0. Write 0 below the 16.
So, 856 / 4 = 214
Answer: 748 / 2 = 374 and 856 / 4 = 214