Juggling is a shortcut to long division, especially in the case where the degree of the numerator is the same as the denominator. In H2 math, juggling is a useful technique in finding the asymptote of graphs and integration.
Juggling: shortcut to long division
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H2 Maths Tuition 
when do we use juggling? does this apply to all fractions?
It is used in integration, when the fraction in numerator is the same degree as denominator. See the examples