Evaluate
161
Factor
7\times 23
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)9660}\\\end{array}
Use the 1^{st} digit 9 from dividend 9660
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)9660}\\\end{array}
Since 9 is less than 60, use the next digit 6 from dividend 9660 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)9660}\\\end{array}
Use the 2^{nd} digit 6 from dividend 9660
\begin{array}{l}\phantom{60)}01\phantom{4}\\60\overline{)9660}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}36\\\end{array}
Find closest multiple of 60 to 96. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 96 to get reminder 36. Add 1 to quotient.
\begin{array}{l}\phantom{60)}01\phantom{5}\\60\overline{)9660}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}366\\\end{array}
Use the 3^{rd} digit 6 from dividend 9660
\begin{array}{l}\phantom{60)}016\phantom{6}\\60\overline{)9660}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}366\\\phantom{60)}\underline{\phantom{}360\phantom{9}}\\\phantom{60)99}6\\\end{array}
Find closest multiple of 60 to 366. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 366 to get reminder 6. Add 6 to quotient.
\begin{array}{l}\phantom{60)}016\phantom{7}\\60\overline{)9660}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}366\\\phantom{60)}\underline{\phantom{}360\phantom{9}}\\\phantom{60)99}60\\\end{array}
Use the 4^{th} digit 0 from dividend 9660
\begin{array}{l}\phantom{60)}0161\phantom{8}\\60\overline{)9660}\\\phantom{60)}\underline{\phantom{}60\phantom{99}}\\\phantom{60)}366\\\phantom{60)}\underline{\phantom{}360\phantom{9}}\\\phantom{60)99}60\\\phantom{60)}\underline{\phantom{99}60\phantom{}}\\\phantom{60)9999}0\\\end{array}
Find closest multiple of 60 to 60. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 60 to get reminder 0. Add 1 to quotient.
\text{Quotient: }161 \text{Reminder: }0
Since 0 is less than 60, stop the division. The reminder is 0. The topmost line 0161 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 161.
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}