Evaluate
\frac{167}{6}\approx 27.833333333
Factor
\frac{167}{2 \cdot 3} = 27\frac{5}{6} = 27.833333333333332
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1670}\\\end{array}
Use the 1^{st} digit 1 from dividend 1670
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1670}\\\end{array}
Since 1 is less than 60, use the next digit 6 from dividend 1670 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1670}\\\end{array}
Use the 2^{nd} digit 6 from dividend 1670
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1670}\\\end{array}
Since 16 is less than 60, use the next digit 7 from dividend 1670 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1670}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1670
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1670}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}47\\\end{array}
Find closest multiple of 60 to 167. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 167 to get reminder 47. Add 2 to quotient.
\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1670}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}470\\\end{array}
Use the 4^{th} digit 0 from dividend 1670
\begin{array}{l}\phantom{60)}0027\phantom{8}\\60\overline{)1670}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}470\\\phantom{60)}\underline{\phantom{9}420\phantom{}}\\\phantom{60)99}50\\\end{array}
Find closest multiple of 60 to 470. We see that 7 \times 60 = 420 is the nearest. Now subtract 420 from 470 to get reminder 50. Add 7 to quotient.
\text{Quotient: }27 \text{Reminder: }50
Since 50 is less than 60, stop the division. The reminder is 50. The topmost line 0027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.
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}