Evaluate
\frac{337}{2}=168.5
Factor
\frac{337}{2} = 168\frac{1}{2} = 168.5
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)10110}\\\end{array}
Use the 1^{st} digit 1 from dividend 10110
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)10110}\\\end{array}
Since 1 is less than 60, use the next digit 0 from dividend 10110 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)10110}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10110
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)10110}\\\end{array}
Since 10 is less than 60, use the next digit 1 from dividend 10110 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)10110}\\\end{array}
Use the 3^{rd} digit 1 from dividend 10110
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)10110}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}41\\\end{array}
Find closest multiple of 60 to 101. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 101 to get reminder 41. Add 1 to quotient.
\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)10110}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}411\\\end{array}
Use the 4^{th} digit 1 from dividend 10110
\begin{array}{l}\phantom{60)}0016\phantom{8}\\60\overline{)10110}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}411\\\phantom{60)}\underline{\phantom{9}360\phantom{9}}\\\phantom{60)99}51\\\end{array}
Find closest multiple of 60 to 411. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 411 to get reminder 51. Add 6 to quotient.
\begin{array}{l}\phantom{60)}0016\phantom{9}\\60\overline{)10110}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}411\\\phantom{60)}\underline{\phantom{9}360\phantom{9}}\\\phantom{60)99}510\\\end{array}
Use the 5^{th} digit 0 from dividend 10110
\begin{array}{l}\phantom{60)}00168\phantom{10}\\60\overline{)10110}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}411\\\phantom{60)}\underline{\phantom{9}360\phantom{9}}\\\phantom{60)99}510\\\phantom{60)}\underline{\phantom{99}480\phantom{}}\\\phantom{60)999}30\\\end{array}
Find closest multiple of 60 to 510. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 510 to get reminder 30. Add 8 to quotient.
\text{Quotient: }168 \text{Reminder: }30
Since 30 is less than 60, stop the division. The reminder is 30. The topmost line 00168 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 168.
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}