Sure. Let's say you are trying to multiply 37 by 25. In the decimal number system, it is very easy to multiply by powers of ten (1, 10, 100, etc.). One can recognise that 25 is one fourth of 100. As mentioned, if one factor is divided by a number and the other factor is multiplied by the same number, the answer remains the same. Secondly we can use our knowledge of multiplication tables to easily do divisions. So to solve this:
37 x 25 = 
(1/4 x 37) x (4 x 25) = 
(1/4 x (9 x 4 + 1)) x (4 x 25) = 
(9 + 0.25) x 100 = 925

Note that here we used the fact that 36 is 9 times 4 to make the division of 37/4 easier.
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