Combing Hair Before Washing
It may sound surprising but yes combing of hair before washing it helps to remove loose dirt from it. Combing will also loosen the hair tangled in each other at the top. There is a misconception that combing dry hair, especially if it is dirty can break it, but that is not the case. In fact it helps in removal of loose dirt from it. Do not comb through the hair with force, because if they are tangled tightly, there is a possibility you will break it by exerting force.
Put Plenty of Water
It is possible that you have take more than a couple of days since last time you washed your hair. Whether or not this is the case, put a plenty of water to wet your hair. It is better if you use shower to wet. It is your choice to select the temperature of the water. This will remove all hair care products you have applied since washing last time and remove dirt and grim to an extent as well.
After you have wet your hair that they are hanged down naturally, rinse water through them, gently. It is better use your fingers but do it with a soft touch and do not exert force. Then you can take a reasonably measured quantity of any shampoo and wash your hair thoroughly. Do not use shampoo on tips of the hair as it will make them dry and tangled in each other. This will break the hair.
Wash With Vinegar
Vinegar is another home remedy to remove dirt and grime from hair. Take a little amount of vinegar and then add three times more water to it. Apply it to your hair and after you think you are done, rinse the water through your hair. You condition your hair once they are washed and this will leave your hair dirt and grime free and give shiny soft look to your hair.