Sure! To divide 6786 by 16 in a friendly way, we can break it down into smaller steps. Here are 10 smaller equations to help solve it without decimals or fractions:
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Break it into parts:
\( 6786 = 6000 + 700 + 80 + 6 \) -
Divide each part by 16:
\( 6000 \div 16 = 375 \) (since \( 6000 = 16 \times 375 \))
\( 700 \div 16 \) (approximately \( 43 \))
\( 80 \div 16 = 5 \)
\( 6 \div 16 = 0 \) (remainder) -
Combine the results (whole numbers):
- From 6000: \( 375 \)
- From 700: \( 43 \)
- From 80: \( 5 \)
- From 6: \( 0 \)
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Add the whole number results together:
\( 375 + 43 + 5 + 0 = 423 \) -
Check for remainders:
- Calculate \( 43 \times 16 = 688 \)
- Add \( 375 \times 16 = 6000 \) → \( 6000 + 688 + 80 + 6 \) should equal \( 6786 \)
- If \( 688 + 375 \times 16 + 80 + 6 \) fits back to equal \( 6786 \), it confirms our division.
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Calculate replacements if needed:
- If you need a breakdown calculation: use smaller multiplicands like dividing \( 1786 \div 16 \) for accumulator check or split as necessary.
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Evenly divide smaller segments:
- Either find segments of \( 16 \) from \( 6000, 700 \), and ensure to remainder correctly.
These smaller steps help to visualize and compute \( 6786 \div 16 = 423 \) correctly while avoiding complex calculations. You can modify the steps further if needed!
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