Evaluate
\frac{157}{132}\approx 1.189393939
Factor
\frac{157}{2 ^ {2} \cdot 3 \cdot 11} = 1\frac{25}{132} = 1.1893939393939394
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\begin{array}{l}\phantom{13200)}\phantom{1}\\13200\overline{)15700}\\\end{array}
Use the 1^{st} digit 1 from dividend 15700
\begin{array}{l}\phantom{13200)}0\phantom{2}\\13200\overline{)15700}\\\end{array}
Since 1 is less than 13200, use the next digit 5 from dividend 15700 and add 0 to the quotient
\begin{array}{l}\phantom{13200)}0\phantom{3}\\13200\overline{)15700}\\\end{array}
Use the 2^{nd} digit 5 from dividend 15700
\begin{array}{l}\phantom{13200)}00\phantom{4}\\13200\overline{)15700}\\\end{array}
Since 15 is less than 13200, use the next digit 7 from dividend 15700 and add 0 to the quotient
\begin{array}{l}\phantom{13200)}00\phantom{5}\\13200\overline{)15700}\\\end{array}
Use the 3^{rd} digit 7 from dividend 15700
\begin{array}{l}\phantom{13200)}000\phantom{6}\\13200\overline{)15700}\\\end{array}
Since 157 is less than 13200, use the next digit 0 from dividend 15700 and add 0 to the quotient
\begin{array}{l}\phantom{13200)}000\phantom{7}\\13200\overline{)15700}\\\end{array}
Use the 4^{th} digit 0 from dividend 15700
\begin{array}{l}\phantom{13200)}0000\phantom{8}\\13200\overline{)15700}\\\end{array}
Since 1570 is less than 13200, use the next digit 0 from dividend 15700 and add 0 to the quotient
\begin{array}{l}\phantom{13200)}0000\phantom{9}\\13200\overline{)15700}\\\end{array}
Use the 5^{th} digit 0 from dividend 15700
\begin{array}{l}\phantom{13200)}00001\phantom{10}\\13200\overline{)15700}\\\phantom{13200)}\underline{\phantom{}13200\phantom{}}\\\phantom{13200)9}2500\\\end{array}
Find closest multiple of 13200 to 15700. We see that 1 \times 13200 = 13200 is the nearest. Now subtract 13200 from 15700 to get reminder 2500. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }2500
Since 2500 is less than 13200, stop the division. The reminder is 2500. The topmost line 00001 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}