Evaluate
\frac{157}{100}=1.57
Factor
\frac{157}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{57}{100} = 1.57
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)157}\\\end{array}
Use the 1^{st} digit 1 from dividend 157
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)157}\\\end{array}
Since 1 is less than 100, use the next digit 5 from dividend 157 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)157}\\\end{array}
Use the 2^{nd} digit 5 from dividend 157
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)157}\\\end{array}
Since 15 is less than 100, use the next digit 7 from dividend 157 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)157}\\\end{array}
Use the 3^{rd} digit 7 from dividend 157
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)157}\\\phantom{100)}\underline{\phantom{}100\phantom{}}\\\phantom{100)9}57\\\end{array}
Find closest multiple of 100 to 157. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 157 to get reminder 57. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }57
Since 57 is less than 100, stop the division. The reminder is 57. The topmost line 001 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}