Evaluate
\frac{91}{25}=3.64
Factor
\frac{7 \cdot 13}{5 ^ {2}} = 3\frac{16}{25} = 3.64
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\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)3640}\\\end{array}
Use the 1^{st} digit 3 from dividend 3640
\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)3640}\\\end{array}
Since 3 is less than 1000, use the next digit 6 from dividend 3640 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)3640}\\\end{array}
Use the 2^{nd} digit 6 from dividend 3640
\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)3640}\\\end{array}
Since 36 is less than 1000, use the next digit 4 from dividend 3640 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)3640}\\\end{array}
Use the 3^{rd} digit 4 from dividend 3640
\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)3640}\\\end{array}
Since 364 is less than 1000, use the next digit 0 from dividend 3640 and add 0 to the quotient
\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)3640}\\\end{array}
Use the 4^{th} digit 0 from dividend 3640
\begin{array}{l}\phantom{1000)}0003\phantom{8}\\1000\overline{)3640}\\\phantom{1000)}\underline{\phantom{}3000\phantom{}}\\\phantom{1000)9}640\\\end{array}
Find closest multiple of 1000 to 3640. We see that 3 \times 1000 = 3000 is the nearest. Now subtract 3000 from 3640 to get reminder 640. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }640
Since 640 is less than 1000, stop the division. The reminder is 640. 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}