1519/ 49

To perform long division of 1519 by 49:

1. Set up the division: Write 1519 inside the division bracket and 49 outside.
2. Divide the first part:
   • Determine how many times 49 goes into the first part of 1519 (which is 151).
   • 49 goes into 151 three times (since \(49 \times 3 = 147\)).
   • Write 3 above the division bracket.
3. Multiply and subtract:
   • Multiply 3 by 49 to get 147.
   • Subtract 147 from 151 to get 4.
   • Bring down the next digit (9), making it 49.
4. Divide the next part:
   • Determine how many times 49 goes into 49.
   • 49 goes into 49 exactly once (since \(49 \times 1 = 49\)).
   • Write 1 above the division bracket next to the 3.
5. Multiply and subtract:
   • Multiply 1 by 49 to get 49.
   • Subtract 49 from 49 to get 0.
     The result of \(1519 \div 49\) is 31 with a remainder of 0.

Supplemental Knowledge

Long division is a method for dividing large numbers by breaking down the division process into a series of easier steps. Here’s a quick refresher on how to perform long division:

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 from the dividend and repeat these steps until all digits have been brought down.
   For example, let’s consider dividing 987 by 32:

• Divide: 32 goes into 98 three times (since 32 * 3 = 96).
• Subtract: 98 - 96 = 2.
• Bring Down: Bring down the next digit (7), making it 27.
• Repeat: 32 goes into 27 zero times, so you bring down another digit if available or conclude with a remainder.

Real-Life Connections

Imagine planning an important event and needing to distribute tasks among team members evenly. For instance, using long division will enable you to find out exactly which tasks each of 49 team members should tackle, providing for even workload distribution across your event team.

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