Evaluate
\frac{195}{2}=97.5
Factor
\frac{3 \cdot 5 \cdot 13}{2} = 97\frac{1}{2} = 97.5
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)2340}\\\end{array}
Use the 1^{st} digit 2 from dividend 2340
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)2340}\\\end{array}
Since 2 is less than 24, use the next digit 3 from dividend 2340 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)2340}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2340
\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)2340}\\\end{array}
Since 23 is less than 24, use the next digit 4 from dividend 2340 and add 0 to the quotient
\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)2340}\\\end{array}
Use the 3^{rd} digit 4 from dividend 2340
\begin{array}{l}\phantom{24)}009\phantom{6}\\24\overline{)2340}\\\phantom{24)}\underline{\phantom{}216\phantom{9}}\\\phantom{24)9}18\\\end{array}
Find closest multiple of 24 to 234. We see that 9 \times 24 = 216 is the nearest. Now subtract 216 from 234 to get reminder 18. Add 9 to quotient.
\begin{array}{l}\phantom{24)}009\phantom{7}\\24\overline{)2340}\\\phantom{24)}\underline{\phantom{}216\phantom{9}}\\\phantom{24)9}180\\\end{array}
Use the 4^{th} digit 0 from dividend 2340
\begin{array}{l}\phantom{24)}0097\phantom{8}\\24\overline{)2340}\\\phantom{24)}\underline{\phantom{}216\phantom{9}}\\\phantom{24)9}180\\\phantom{24)}\underline{\phantom{9}168\phantom{}}\\\phantom{24)99}12\\\end{array}
Find closest multiple of 24 to 180. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 180 to get reminder 12. Add 7 to quotient.
\text{Quotient: }97 \text{Reminder: }12
Since 12 is less than 24, stop the division. The reminder is 12. The topmost line 0097 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 97.
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}