Evaluate
\frac{15}{2}=7.5
Factor
\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)375}\\\end{array}
Use the 1^{st} digit 3 from dividend 375
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)375}\\\end{array}
Since 3 is less than 50, use the next digit 7 from dividend 375 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)375}\\\end{array}
Use the 2^{nd} digit 7 from dividend 375
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)375}\\\end{array}
Since 37 is less than 50, use the next digit 5 from dividend 375 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)375}\\\end{array}
Use the 3^{rd} digit 5 from dividend 375
\begin{array}{l}\phantom{50)}007\phantom{6}\\50\overline{)375}\\\phantom{50)}\underline{\phantom{}350\phantom{}}\\\phantom{50)9}25\\\end{array}
Find closest multiple of 50 to 375. We see that 7 \times 50 = 350 is the nearest. Now subtract 350 from 375 to get reminder 25. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }25
Since 25 is less than 50, stop the division. The reminder is 25. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}