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परावर्त्य योजयेत्

Why it works: Parāvartya Yojayet

For divisor D=10k+dD = 10^k + d (where |d| < 10k10^k): flag method transposes d (uses −d). Each step: bring down a digit, subtract flag×quotient-digit from remainder. The transposed coefficients generate the quotient digit by digit.

Example Problems

1234÷121234 \div 12=102= 102 R 10
2356÷132356 \div 13=181= 181 R 3
12345÷11212345 \div 112=110= 110 R 25