Calculate: \( \begin{array}{lll}\text { a. } 2 2 \longdiv { 3 6 8 4 2 } & \text { b. } 6 3 \longdiv { 9 6 4 3 1 } & \text { c. } 4 5 \longdiv { 7 6 5 9 3 }\end{array} \)
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Let's calculate each division step-by-step: **a.** \( 2 \, \longdiv{3 \, 6 \, 8 \, 4 \, 2} \) - Divide 36842 by 2. - 2 goes into 3 once (1), remainder 1. Bring down the next digit (6): becomes 16. - 2 goes into 16 eight times (8), remainder 0. Bring down the next digit (8): becomes 08. - 2 goes into 8 four times (4), remainder 0. Bring down the next digit (4): becomes 04. - 2 goes into 4 two times (2), remainder 0. Bring down the last digit (2): becomes 02. - 2 goes into 2 one time (1), remainder 0. So, \( 2 \, \longdiv{3 \, 6 \, 8 \, 4 \, 2} = 18421 \). **b.** \( 6 \, \longdiv{9 \, 6 \, 4 \, 3 \, 1} \) - Divide 96431 by 6. - 6 goes into 9 once (1), remainder 3. Bring down the next digit (6): becomes 36. - 6 goes into 36 six times (6), remainder 0. Bring down the next digit (4): becomes 04. - 6 goes into 4 zero times (0), remainder 4. Bring down the next digit (3): becomes 43. - 6 goes into 43 seven times (7), remainder 1. Bring down the last digit (1): becomes 11. - 6 goes into 11 one time (1), remainder 5. So, \( 6 \, \longdiv{9 \, 6 \, 4 \, 3 \, 1} = 16071 \) with a remainder of 5. **c.** \( 4 \, \longdiv{7 \, 6 \, 5 \, 9 \, 3} \) - Divide 76593 by 4. - 4 goes into 7 once (1), remainder 3. Bring down the next digit (6): becomes 36. - 4 goes into 36 nine times (9), remainder 0. Bring down the next digit (5): becomes 05. - 4 goes into 5 one time (1), remainder 1. Bring down the next digit (9): becomes 19. - 4 goes into 19 four times (4), remainder 3. Bring down the last digit (3): becomes 33. - 4 goes into 33 eight times (8), remainder 1. So, \( 4 \, \longdiv{7 \, 6 \, 5 \, 9 \, 3} = 19148 \) with a remainder of 1. ### Summary: - \( a = 18421 \) - \( b = 16071 \) (remainder 5) - \( c = 19148 \) (remainder 1)
