Evaluate
28
Factor
2^{2}\times 7
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1680}\\\end{array}
Use the 1^{st} digit 1 from dividend 1680
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1680}\\\end{array}
Since 1 is less than 60, use the next digit 6 from dividend 1680 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1680}\\\end{array}
Use the 2^{nd} digit 6 from dividend 1680
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1680}\\\end{array}
Since 16 is less than 60, use the next digit 8 from dividend 1680 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1680}\\\end{array}
Use the 3^{rd} digit 8 from dividend 1680
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1680}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}48\\\end{array}
Find closest multiple of 60 to 168. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 168 to get reminder 48. Add 2 to quotient.
\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1680}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}480\\\end{array}
Use the 4^{th} digit 0 from dividend 1680
\begin{array}{l}\phantom{60)}0028\phantom{8}\\60\overline{)1680}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}480\\\phantom{60)}\underline{\phantom{9}480\phantom{}}\\\phantom{60)9999}0\\\end{array}
Find closest multiple of 60 to 480. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 480 to get reminder 0. Add 8 to quotient.
\text{Quotient: }28 \text{Reminder: }0
Since 0 is less than 60, stop the division. The reminder is 0. The topmost line 0028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.
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}