Divide multi-digit numbers by hand quickly and accurately.
A fluency sprint: build the speed and accuracy you need to do this calculation instantly on test day.
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First make the divisor a whole number. Move its decimal point to the right, and move the dividend's point the same number of places. \(7.3 \div 1.6\) becomes \(73 \div 16\).
Then repeat four steps: divide, multiply, subtract, bring down. 16 goes into 73 four times (\(64\)), remainder \(9\). Add a zero: 16 goes into 90 five times (\(80\)), remainder \(10\). Then \(100 \to 6\), remainder \(4\); \(40 \to 2\), remainder \(8\); \(80 \to 5\), remainder \(0\). Answer: \(4.5625\).
Speed tips:
Common slips: moving the point in only one number, and skipping a 0 in the quotient when the divisor does not fit (\(0.18 \div 12 = 0.015\), not \(0.15\)).
Divide: \(4.96 \div 8 = 0.62\). Check by multiplying back: \(0.62 \times 8 = 4.96\). Placing the decimal point in the answer one place too far to the right gives \(6.2\). Placing the decimal point in the answer one place too far to the left gives \(0.062\). Placing the decimal point in the answer two places too far to the right gives \(62\).
Divide: \(4.42 \div 17 = 0.26\). Check by multiplying back: \(0.26 \times 17 = 4.42\). Placing the decimal point in the answer one place too far to the right gives \(2.6\). Placing the decimal point in the answer one place too far to the left gives \(0.026\). Placing the decimal point in the answer two places too far to the right gives \(26\).
Divide: \(9.8 \div 1.4 = 7\). Check by multiplying back: \(7 \times 1.4 = 9.8\). Moving the decimal point in the dividend but not in the divisor gives \(70\). Moving the decimal point in the divisor but not in the dividend gives \(0.7\). Moving the decimal point two places too far to the right in the answer gives \(700\).