Group the digits of the number into sets of three from right to left.
Find the largest perfect cube less than or equal to the leftmost group.
Write its cube root as the first digit of the answer.
Subtract the cube from the leftmost group.
Bring down the next group of three digits.
Form the new dividend.
Use the division method to find the next digit by testing cubes.
Continue the same process for each group of three digits.
Write each found digit in the cube root.
Place the decimal point in the cube root directly above the decimal point in the number, if needed.
Check the result by cubing the answer.