When trying to lose fat weighing yourself is not the only gauge you should use to assess your progress. When you begin exercise at the same time as starting a weightloss diet you may not experience the weightless you expect. Muscle is more dense than fat and weighs approximately twice as much so whilst you tone up your weightloss may be slow.
When you do weigh yourself if you do it too often you will not be able to separate the differences like water retention and food you have eaten. For weight you should weigh yourself once a week at the same time, if possible first thing in the morning before you eat, but if its the same time of day each week you should avoid fluctuations.
The second guage you need to couple with weight is measurements, waist, hips, arms, thighs etc another good gauge is how your clothes feel, e.g. Loose or tight, can you do your belt up an extra hole. This is to see if you are losing inches.
When you couple the two you can gauge if you are losing inches and thus fat even though the weight loss in kilos may not be high.