Using long division 714/ 42

To perform long division of 714 by 42:

1. Set up the division: Write 714 inside the division bracket and 42 outside.
2. Divide the first part:
   • Determine how many times 42 goes into the first part of 714 (which is 71).
   • 42 goes into 71 once (since \(42 \times 1 = 42\)).
   • Write 1 above the division bracket.
3. Multiply and subtract:
   • Multiply 1 by 42 to get 42.
   • Subtract 42 from 71 to get 29.
   • Bring down the next digit (4), making it 294.
4. Divide the next part:
   • Determine how many times 42 goes into 294.
   • 42 goes into 294 exactly 7 times (since \(42 \times 7 = 294\)).
   • Write 7 above the division bracket next to the 1.
5. Multiply and subtract:
   • Multiply 7 by 42 to get 294.
   • Subtract 294 from 294 to get 0.
     The result of \(714 \div 42\) is 17.

Supplemental Knowledge

Long division is a method used to divide larger numbers by breaking down the division process into a series of easier steps. Here’s a quick refresher on how long division works:

1. Divide: Determine how many times the divisor can fit into the current portion of the dividend.
2. Multiply: Multiply the divisor by this quotient and write the result under the current portion of the dividend.
3. Subtract: Subtract this result from the current portion of the dividend to find the remainder.
4. Bring Down: Bring down the next digit of the dividend and repeat these steps until all digits have been brought down.

Knowledge in Action

Imagine you're organizing an event, like a school fair, that requires disbursing 714 tickets evenly among 42 volunteers. By using long division, it will help quickly determine how many tickets should be given out without creating confusion over distribution of shares.

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