This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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You're on a roll — Here are the solutions to the division problems using the long division method: a) 925 ÷ 2 Step 1: Divide 9 by 2. 9 ÷ 2 = 4 Write 4 in the quotient. Multiply 4 × 2 = 8. Subtract 8 from 9: 9 - 8 = 1. Step 2: Bring down 2 to make 12. Divide 12 by 2. 12 ÷ 2 = 6 Write 6 in the quotient. Multiply 6 × 2 = 12. Subtract 12 from 12: 12 - 12 = 0. Step 3: Bring down 5 to make 5. Divide 5 by 2. 5 ÷ 2 = 2 Write 2 in the quotient. Multiply 2 × 2 = 4. Subtract 4 from 5: 5 - 4 = 1. The remainder is 1. 462 R 1 b) 457 ÷ 7 Step 1: Divide 45 by 7. 45 ÷ 7 = 6 Write 6 in the quotient. Multiply 6 × 7 = 42. Subtract 42 from 45: 45 - 42 = 3. Step 2: Bring down 7 to make 37. Divide 37 by 7. 37 ÷ 7 = 5 Write 5 in the quotient. Multiply 5 × 7 = 35. Subtract 35 from 37: 37 - 35 = 2. The remainder is 2. 65 R 2 c) 596 ÷ 3 Step 1: Divide 5 by 3. 5 ÷ 3 = 1 Write 1 in the quotient. Multiply 1 × 3 = 3. Subtract 3 from 5: 5 - 3 = 2. Step 2: Bring down 9 to make 29. Divide 29 by 3. 29 ÷ 3 = 9 Write 9 in the quotient. Multiply 9 × 3 = 27. Subtract 27 from 29: 29 - 27 = 2. Step 3: Bring down 6 to make 26. Divide 26 by 3. 26 ÷ 3 = 8 Write 8 in the quotient. Multiply 8 × 3 = 24. Subtract 24 from 26: 26 - 24 = 2. The remainder is 2. 198 R 2 d) 338 ÷ 8 Step 1: Divide 33 by 8. 33 ÷ 8 = 4 Write 4 in the quotient. Multiply 4 × 8 = 32. Subtract 32 from 33: 33 - 32 = 1. Step 2: Bring down 8 to make 18. Divide 18 by 8. 18 ÷ 8 = 2 Write 2 in the quotient. Multiply 2 × 8 = 16. Subtract 16 from 18: 18 - 16 = 2. The remainder is 2. 42 R 2 e) 767 ÷ 4 Step 1: Divide 7 by 4. 7 ÷ 4 = 1 Write 1 in the quotient. Multiply 1 × 4 = 4. Subtract 4 from 7: 7 - 4 = 3. Step 2: Bring down 6 to make 36. Divide 36 by 4. 36 ÷ 4 = 9 Write 9 in the quotient. Multiply 9 × 4 = 36. Subtract 36 from 36: 36 - 36 = 0. Step 3: Bring down 7 to make 7. Divide 7 by 4. 7 ÷ 4 = 1 Write 1 in the quotient. Multiply 1 × 4 = 4. Subtract 4 from 7: 7 - 4 = 3. The remainder is 3. 191 R 3 f) 806 ÷ 9 Step 1: Divide 80 by 9. 80 ÷ 9 = 8 Write 8 in the quotient. Multiply 8 × 9 = 72. Subtract 72 from 80: 80 - 72 = 8. Step 2: Bring down 6 to make 86. Divide 86 by 9. 86 ÷ 9 = 9 Write 9 in the quotient. Multiply 9 × 9 = 81. Subtract 81 from 86: 86 - 81 = 5. The remainder is 5. 89 R 5 g) 649 ÷ 5 Step 1: Divide 6 by 5. 6 ÷ 5 = 1 Write 1 in the quotient. Multiply 1 × 5 = 5. Subtract 5 from 6: 6 - 5 = 1. Step 2: Bring down 4 to make 14. Divide 14 by 5. 14 ÷ 5 = 2 Write 2 in the quotient. Multiply 2 × 5 = 10. Subtract 10 from 14: 14 - 10 = 4. Step 3: Bring down 9 to make 49. Divide 49 by 5. 49 ÷ 5 = 9 Write 9 in the quotient. Multiply 9 × 5 = 45. Subtract 45 from 49: 49 - 45 = 4. The remainder is 4. 129 R 4 h) 179 ÷ 8 Step 1: Divide 17 by 8. 17 ÷ 8 = 2 Write 2 in the quotient. Multiply 2 × 8 = 16. Subtract 16 from 17: 17 - 16 = 1. Step 2: Bring down 9 to make 19. Divide 19 by 8. 19 ÷ 8 = 2 Write 2 in the quotient. Multiply 2 × 8 = 16. Subtract 16 from 19: 19 - 16 = 3. The remainder is 3. 22 R 3 i) 285 ÷ 6 Step 1: Divide 28 by 6. 28 ÷ 6 = 4 Write 4 in the quotient. Multiply 4 × 6 = 24. Subtract 24 from 28: 28 - 24 = 4. Step 2: Bring down 5 to make 45. Divide 45 by 6. 45 ÷ 6 = 7 Write 7 in the quotient. Multiply 7 × 6 = 42. Subtract 42 from 45: 45 - 42 = 3. The remainder is 3. 47 R 3 Got more? Send 'em!