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 solutions using long division. 1. 651 ÷ 21 Step 1: Divide the first part of the dividend (65) by the divisor (21). 21 goes into 65 two times. 21 × 3 = 63. Subtract 63 from 65: 65 - 63 = 2. Step 2: Bring down the next digit of the dividend (1) to form 21. Now divide 21 by 21. 21 goes into 21 one time. 21 × 1 = 21. Subtract 21 from 21: 21 - 21 = 0. The quotient is 31 with a remainder of 0. r 31 \\ 21 ) 651 \\ -63 \\ 21 \\ -21 \\ 0 The answer is 31. 2. 645 ÷ 15 Step 1: Divide the first part of the dividend (64) by the divisor (15). 15 goes into 64 four times. 15 × 4 = 60. Subtract 60 from 64: 64 - 60 = 4. Step 2: Bring down the next digit of the dividend (5) to form 45. Now divide 45 by 15. 15 goes into 45 three times. 15 × 3 = 45. Subtract 45 from 45: 45 - 45 = 0. The quotient is 43 with a remainder of 0. r 43 \\ 15 ) 645 \\ -60 \\ 45 \\ -45 \\ 0 The answer is 43. 3. 992 ÷ 45 Step 1: Divide the first part of the dividend (99) by the divisor (45). 45 goes into 99 two times. 45 × 2 = 90. Subtract 90 from 99: 99 - 90 = 9. Step 2: Bring down the next digit of the dividend (2) to form 92. Now divide 92 by 45. 45 goes into 92 two times. 45 × 2 = 90. Subtract 90 from 92: 92 - 90 = 2. The quotient is 22 with a remainder of 2. r 22 \\ 45 ) 992 \\ -90 \\ 92 \\ -90 \\ 2 The answer is 22 R 2 or 22 (2)/(45). That's 2 down. 3 left today — send the next one.