Evaluate
\frac{43}{17}\approx 2.529411765
Factor
\frac{43}{17} = 2\frac{9}{17} = 2.5294117647058822
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\begin{array}{l}\phantom{238)}\phantom{1}\\238\overline{)602}\\\end{array}
Use the 1^{st} digit 6 from dividend 602
\begin{array}{l}\phantom{238)}0\phantom{2}\\238\overline{)602}\\\end{array}
Since 6 is less than 238, use the next digit 0 from dividend 602 and add 0 to the quotient
\begin{array}{l}\phantom{238)}0\phantom{3}\\238\overline{)602}\\\end{array}
Use the 2^{nd} digit 0 from dividend 602
\begin{array}{l}\phantom{238)}00\phantom{4}\\238\overline{)602}\\\end{array}
Since 60 is less than 238, use the next digit 2 from dividend 602 and add 0 to the quotient
\begin{array}{l}\phantom{238)}00\phantom{5}\\238\overline{)602}\\\end{array}
Use the 3^{rd} digit 2 from dividend 602
\begin{array}{l}\phantom{238)}002\phantom{6}\\238\overline{)602}\\\phantom{238)}\underline{\phantom{}476\phantom{}}\\\phantom{238)}126\\\end{array}
Find closest multiple of 238 to 602. We see that 2 \times 238 = 476 is the nearest. Now subtract 476 from 602 to get reminder 126. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }126
Since 126 is less than 238, stop the division. The reminder is 126. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}