Evaluate
186
Factor
2\times 3\times 31
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)11160}\\\end{array}
Use the 1^{st} digit 1 from dividend 11160
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)11160}\\\end{array}
Since 1 is less than 60, use the next digit 1 from dividend 11160 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)11160}\\\end{array}
Use the 2^{nd} digit 1 from dividend 11160
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)11160}\\\end{array}
Since 11 is less than 60, use the next digit 1 from dividend 11160 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)11160}\\\end{array}
Use the 3^{rd} digit 1 from dividend 11160
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)11160}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}51\\\end{array}
Find closest multiple of 60 to 111. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 111 to get reminder 51. Add 1 to quotient.
\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)11160}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}516\\\end{array}
Use the 4^{th} digit 6 from dividend 11160
\begin{array}{l}\phantom{60)}0018\phantom{8}\\60\overline{)11160}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}516\\\phantom{60)}\underline{\phantom{9}480\phantom{9}}\\\phantom{60)99}36\\\end{array}
Find closest multiple of 60 to 516. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 516 to get reminder 36. Add 8 to quotient.
\begin{array}{l}\phantom{60)}0018\phantom{9}\\60\overline{)11160}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}516\\\phantom{60)}\underline{\phantom{9}480\phantom{9}}\\\phantom{60)99}360\\\end{array}
Use the 5^{th} digit 0 from dividend 11160
\begin{array}{l}\phantom{60)}00186\phantom{10}\\60\overline{)11160}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}516\\\phantom{60)}\underline{\phantom{9}480\phantom{9}}\\\phantom{60)99}360\\\phantom{60)}\underline{\phantom{99}360\phantom{}}\\\phantom{60)99999}0\\\end{array}
Find closest multiple of 60 to 360. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 360 to get reminder 0. Add 6 to quotient.
\text{Quotient: }186 \text{Reminder: }0
Since 0 is less than 60, stop the division. The reminder is 0. The topmost line 00186 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 186.
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}