To break down the division of 3347 by 7 using smaller friendly equations based on multiples of 7, we can decompose 3347 into parts that are easy to divide by 7. Here’s one way to do this:
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First Part: 2800 \[ 2800 \div 7 = 400 \] (Since \( 2800 = 7 \times 400 \))
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Second Part: 420 \[ 420 \div 7 = 60 \] (Since \( 420 = 7 \times 60 \))
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Third Part: 21 \[ 21 \div 7 = 3 \] (Since \( 21 = 7 \times 3 \))
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Fourth Part: 6 \[ 6 \div 7 = 0 \text{ R } 6 \] (This part is less than 7, so it doesn't contribute to the integer part of the quotient)
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Fifth Part: 0 \[ 0 \div 7 = 0 \] (No contribution since there is no remainder)
Now, let's sum the results of the useful parts:
\[ 400 + 60 + 3 = 463 \]
So, when you divide 3347 by 7, you get:
\[ 3347 \div 7 = 463 \text{ with a remainder of } 6 \]
Thus, the final answer is: 463 R6 (or 463 remainder 6).