Evaluate
\frac{84}{5}=16.8
Factor
\frac{2 ^ {2} \cdot 3 \cdot 7}{5} = 16\frac{4}{5} = 16.8
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1008}\\\end{array}
Use the 1^{st} digit 1 from dividend 1008
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1008}\\\end{array}
Since 1 is less than 60, use the next digit 0 from dividend 1008 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1008}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1008
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1008}\\\end{array}
Since 10 is less than 60, use the next digit 0 from dividend 1008 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1008}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1008
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)1008}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}40\\\end{array}
Find closest multiple of 60 to 100. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 100 to get reminder 40. Add 1 to quotient.
\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)1008}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}408\\\end{array}
Use the 4^{th} digit 8 from dividend 1008
\begin{array}{l}\phantom{60)}0016\phantom{8}\\60\overline{)1008}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}408\\\phantom{60)}\underline{\phantom{9}360\phantom{}}\\\phantom{60)99}48\\\end{array}
Find closest multiple of 60 to 408. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 408 to get reminder 48. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }48
Since 48 is less than 60, stop the division. The reminder is 48. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}