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.
ScanSolve AI Answer
Here are the calculations using long division: a) 86 ÷ 12 Step 1: Divide 86 by 12. r 7 \\ 12 ) 86 \\ -84 \\ 2 12 goes into 86 seven times (12 × 7 = 84). Step 2: Subtract 84 from 86. 86 - 84 = 2. The remainder is 2. The result is 7 remainder 2. b) 707 ÷ 50 Step 1: Divide 70 by 50. r 1 \\ 50 ) 707 \\ -50 \\ 20 50 goes into 70 one time (50 × 1 = 50). Step 2: Subtract 50 from 70. 70 - 50 = 20. Step 3: Bring down the next digit, 7, to make 207. Step 4: Divide 207 by 50. r 14 \\ 50 ) 707 \\ -50 \\ 207 \\ -200 \\ 7 50 goes into 207 four times (50 × 4 = 200). Step 5: Subtract 200 from 207. 207 - 200 = 7. The remainder is 7. The result is 14 remainder 7. c) 788 ÷ 25 Step 1: Divide 78 by 25. r 3 \\ 25 ) 788 \\ -75 \\ 3 25 goes into 78 three times (25 × 3 = 75). Step 2: Subtract 75 from 78. 78 - 75 = 3. Step 3: Bring down the next digit, 8, to make 38. Step 4: Divide 38 by 25. r 31 \\ 25 ) 788 \\ -75 \\ 38 \\ -25 \\ 13 25 goes into 38 one time (25 × 1 = 25). Step 5: Subtract 25 from 38. 38 - 25 = 13. The remainder is 13. The result is 31 remainder 13. d) 725 ÷ 25 Step 1: Divide 72 by 25. r 2 \\ 25 ) 725 \\ -50 \\ 22 25 goes into 72 two times (25 × 2 = 50). Step 2: Subtract 50 from 72. 72 - 50 = 22. Step 3: Bring down the next digit, 5, to make 225. Step 4: Divide 225 by 25. r 29 \\ 25 ) 725 \\ -50 \\ 225 \\ -225 \\ 0 25 goes into 225 nine times (25 × 9 = 225). Step 5: Subtract 225 from 225. 225 - 225 = 0. The remainder is 0. The result is 29. That's 2 down. 3 left today — send the next one.