Evaluate
14
Factor
2\times 7
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\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)2520}\\\end{array}
Use the 1^{st} digit 2 from dividend 2520
\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)2520}\\\end{array}
Since 2 is less than 180, use the next digit 5 from dividend 2520 and add 0 to the quotient
\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)2520}\\\end{array}
Use the 2^{nd} digit 5 from dividend 2520
\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)2520}\\\end{array}
Since 25 is less than 180, use the next digit 2 from dividend 2520 and add 0 to the quotient
\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)2520}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2520
\begin{array}{l}\phantom{180)}001\phantom{6}\\180\overline{)2520}\\\phantom{180)}\underline{\phantom{}180\phantom{9}}\\\phantom{180)9}72\\\end{array}
Find closest multiple of 180 to 252. We see that 1 \times 180 = 180 is the nearest. Now subtract 180 from 252 to get reminder 72. Add 1 to quotient.
\begin{array}{l}\phantom{180)}001\phantom{7}\\180\overline{)2520}\\\phantom{180)}\underline{\phantom{}180\phantom{9}}\\\phantom{180)9}720\\\end{array}
Use the 4^{th} digit 0 from dividend 2520
\begin{array}{l}\phantom{180)}0014\phantom{8}\\180\overline{)2520}\\\phantom{180)}\underline{\phantom{}180\phantom{9}}\\\phantom{180)9}720\\\phantom{180)}\underline{\phantom{9}720\phantom{}}\\\phantom{180)9999}0\\\end{array}
Find closest multiple of 180 to 720. We see that 4 \times 180 = 720 is the nearest. Now subtract 720 from 720 to get reminder 0. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }0
Since 0 is less than 180, stop the division. The reminder is 0. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.
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}