Evaluate
\frac{187}{20}=9.35
Factor
\frac{11 \cdot 17}{2 ^ {2} \cdot 5} = 9\frac{7}{20} = 9.35
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\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)6545}\\\end{array}
Use the 1^{st} digit 6 from dividend 6545
\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)6545}\\\end{array}
Since 6 is less than 700, use the next digit 5 from dividend 6545 and add 0 to the quotient
\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)6545}\\\end{array}
Use the 2^{nd} digit 5 from dividend 6545
\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)6545}\\\end{array}
Since 65 is less than 700, use the next digit 4 from dividend 6545 and add 0 to the quotient
\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)6545}\\\end{array}
Use the 3^{rd} digit 4 from dividend 6545
\begin{array}{l}\phantom{700)}000\phantom{6}\\700\overline{)6545}\\\end{array}
Since 654 is less than 700, use the next digit 5 from dividend 6545 and add 0 to the quotient
\begin{array}{l}\phantom{700)}000\phantom{7}\\700\overline{)6545}\\\end{array}
Use the 4^{th} digit 5 from dividend 6545
\begin{array}{l}\phantom{700)}0009\phantom{8}\\700\overline{)6545}\\\phantom{700)}\underline{\phantom{}6300\phantom{}}\\\phantom{700)9}245\\\end{array}
Find closest multiple of 700 to 6545. We see that 9 \times 700 = 6300 is the nearest. Now subtract 6300 from 6545 to get reminder 245. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }245
Since 245 is less than 700, stop the division. The reminder is 245. The topmost line 0009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}