Subjects arithmetic

Long Division

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Long Division


1. To demonstrate division by showing the working, let's use an example: divide 123 by 3. 2. Write the division as $123 \div 3$. 3. Start dividing from the leftmost digit: 1 divided by 3 is 0 times since 1 is less than 3. 4. Take the first two digits: 12 divided by 3 equals 4 because $3 \times 4 = 12$. 5. Write 4 above the division bar. 6. Subtract $12$ from $12$, resulting in 0. 7. Bring down the next digit, 3. 8. Divide 3 by 3 equals 1 because $3 \times 1 = 3$. 9. Write 1 next to 4 above the division bar. 10. Subtract $3$ from $3$, resulting in 0. 11. There are no digits left to bring down, and the remainder is 0. 12. The quotient is $41$. Final answer: $$123 \div 3 = 41$$