Evaluate
\frac{7}{2}=3.5
Factor
\frac{7}{2} = 3\frac{1}{2} = 3.5
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\begin{array}{l}\phantom{1240)}\phantom{1}\\1240\overline{)4340}\\\end{array}
Use the 1^{st} digit 4 from dividend 4340
\begin{array}{l}\phantom{1240)}0\phantom{2}\\1240\overline{)4340}\\\end{array}
Since 4 is less than 1240, use the next digit 3 from dividend 4340 and add 0 to the quotient
\begin{array}{l}\phantom{1240)}0\phantom{3}\\1240\overline{)4340}\\\end{array}
Use the 2^{nd} digit 3 from dividend 4340
\begin{array}{l}\phantom{1240)}00\phantom{4}\\1240\overline{)4340}\\\end{array}
Since 43 is less than 1240, use the next digit 4 from dividend 4340 and add 0 to the quotient
\begin{array}{l}\phantom{1240)}00\phantom{5}\\1240\overline{)4340}\\\end{array}
Use the 3^{rd} digit 4 from dividend 4340
\begin{array}{l}\phantom{1240)}000\phantom{6}\\1240\overline{)4340}\\\end{array}
Since 434 is less than 1240, use the next digit 0 from dividend 4340 and add 0 to the quotient
\begin{array}{l}\phantom{1240)}000\phantom{7}\\1240\overline{)4340}\\\end{array}
Use the 4^{th} digit 0 from dividend 4340
\begin{array}{l}\phantom{1240)}0003\phantom{8}\\1240\overline{)4340}\\\phantom{1240)}\underline{\phantom{}3720\phantom{}}\\\phantom{1240)9}620\\\end{array}
Find closest multiple of 1240 to 4340. We see that 3 \times 1240 = 3720 is the nearest. Now subtract 3720 from 4340 to get reminder 620. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }620
Since 620 is less than 1240, stop the division. The reminder is 620. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}