Evaluate
\frac{200}{137}\approx 1.459854015
Factor
\frac{2 ^ {3} \cdot 5 ^ {2}}{137} = 1\frac{63}{137} = 1.4598540145985401
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\begin{array}{l}\phantom{1507)}\phantom{1}\\1507\overline{)2200}\\\end{array}
Use the 1^{st} digit 2 from dividend 2200
\begin{array}{l}\phantom{1507)}0\phantom{2}\\1507\overline{)2200}\\\end{array}
Since 2 is less than 1507, use the next digit 2 from dividend 2200 and add 0 to the quotient
\begin{array}{l}\phantom{1507)}0\phantom{3}\\1507\overline{)2200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 2200
\begin{array}{l}\phantom{1507)}00\phantom{4}\\1507\overline{)2200}\\\end{array}
Since 22 is less than 1507, use the next digit 0 from dividend 2200 and add 0 to the quotient
\begin{array}{l}\phantom{1507)}00\phantom{5}\\1507\overline{)2200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2200
\begin{array}{l}\phantom{1507)}000\phantom{6}\\1507\overline{)2200}\\\end{array}
Since 220 is less than 1507, use the next digit 0 from dividend 2200 and add 0 to the quotient
\begin{array}{l}\phantom{1507)}000\phantom{7}\\1507\overline{)2200}\\\end{array}
Use the 4^{th} digit 0 from dividend 2200
\begin{array}{l}\phantom{1507)}0001\phantom{8}\\1507\overline{)2200}\\\phantom{1507)}\underline{\phantom{}1507\phantom{}}\\\phantom{1507)9}693\\\end{array}
Find closest multiple of 1507 to 2200. We see that 1 \times 1507 = 1507 is the nearest. Now subtract 1507 from 2200 to get reminder 693. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }693
Since 693 is less than 1507, stop the division. The reminder is 693. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}