Sure! Here are 10 smaller friendly equations that break down the division of 6841 by 30:
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\( 30 \times 200 = 6000 \)
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\( 6841 - 6000 = 841 \)
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\( 30 \times 20 = 600 \)
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\( 841 - 600 = 241 \)
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\( 30 \times 8 = 240 \)
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\( 241 - 240 = 1 \)
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\( 30 \times 1 = 30 \)
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\( 1 - 30 = -29 \) (This shows there's still a remainder)
Now, putting it together:
- From the first parts, we know:
- \( 6841 = 6000 + 841 \)
- \( 6000 + 240 + 1 \) (where 240 is from \( 30 \times 8 \))
So, summing the multiples of 30 gives:
- \( 30 \times (200 + 20 + 8) + 1 \)
Thus, \( 6841 \div 30 = 228 \) remainder \( 1 \).
To conclude, the complete equation is: \( 6841 = 30 \times 228 + 1 \).
So, \( 6841 \div 30 = 228 \) with a remainder of \( 1 \).