The oldfashioned way - step-by-step for those who learnt how to many years ago but have forgotten how to do it without a calculator.
Write the two numbers to be multiplied underneath one another, with the decimal points lined up vertically. For the whole number, assume the decimal point to be at the far right. So the .67 will start out to the right of the end of the 120. Draw line underneath. Add a decimal point under this, lined up with the others.
Multiply 120 by .6, Six times 0 is 0, write that 0 under the 6 that you are multiplying by and the rest to the left of the point.
Add decimal point in line with the others. Multiple 120 by .07. Seven times 0 is 0. Write that 0 under the 7 that you are multiplying by Seven twos are 14 - the four goes to the right of the decimal point. Etc,
Add the 72.0 and the 8.40 together. Add decimal point in line with all the others.
Please don't ask me to set out how to do long division!