Cube root long division method

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xzibition8612
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Homework Statement
See attached
Relevant Equations
See attached
On the right paragraph it says "The trial divisor 1200 goes into the dividend 13952, 8 times"

Clearly 1200 goes into 13952, 11 times. I don't understand why 8 is (arbitrarily?) chosen. Please help. Thanks.
 
Attachments
  • Worked long-division example for the cube root of 21952, showing the digit 8 as the first root digit, the trial divisor terms 2^2 x 300 = 1200, 2 x 30 x 8 = 480 and 8^2 = 64, the subtotal 1744 and the dividend 13952, with explanatory text beside it.
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That all looks very weird to me. I don't see how that image you posted would help get to the answer of 24.<something> Where is that from ?
 
xzibition8612 said:
On the right paragraph it says "The trial divisor 1200 goes into the dividend 13952, 8 times"
The text appears to be incorrect. The actual trial divisor being used is 1744, which goes into 13952 8 times.